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Finding the Third Proportional to 103,887.50 and 161,177.50

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Solution

The third proportional to 103,887.50 and 161,177.50 is: 250,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,887.50 : 161,177.50 = 161,177.50 : x
  2. Step 2: Convert to fraction form
    103,887.50/161,177.50 = 161,177.50/x
  3. Step 3: Cross multiply
    103,887.50x = 161,177.50 × 161,177.50
  4. Step 4: Simplify right side
    103,887.50x = 25,978,186,506.25
  5. Step 5: Solve for x
    x = 25,978,186,506.25/103,887.50
  6. Step 6: Final answer
    x = 250,060.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.