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Finding the Third Proportional to 97,189.50 and 158,701.50

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Solution

The third proportional to 97,189.50 and 158,701.50 is: 259,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,189.50 : 158,701.50 = 158,701.50 : x
  2. Step 2: Convert to fraction form
    97,189.50/158,701.50 = 158,701.50/x
  3. Step 3: Cross multiply
    97,189.50x = 158,701.50 × 158,701.50
  4. Step 4: Simplify right side
    97,189.50x = 25,186,166,102.25
  5. Step 5: Solve for x
    x = 25,186,166,102.25/97,189.50
  6. Step 6: Final answer
    x = 259,144.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.