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Finding the Third Proportional to 103,090.50 and 163,545.75

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Solution

The third proportional to 103,090.50 and 163,545.75 is: 259,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,090.50 : 163,545.75 = 163,545.75 : x
  2. Step 2: Convert to fraction form
    103,090.50/163,545.75 = 163,545.75/x
  3. Step 3: Cross multiply
    103,090.50x = 163,545.75 × 163,545.75
  4. Step 4: Simplify right side
    103,090.50x = 26,747,212,343.06
  5. Step 5: Solve for x
    x = 26,747,212,343.06/103,090.50
  6. Step 6: Final answer
    x = 259,453.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.