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Finding the Third Proportional to 62,824.50 and 97,154.25

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Solution

The third proportional to 62,824.50 and 97,154.25 is: 150,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,824.50 : 97,154.25 = 97,154.25 : x
  2. Step 2: Convert to fraction form
    62,824.50/97,154.25 = 97,154.25/x
  3. Step 3: Cross multiply
    62,824.50x = 97,154.25 × 97,154.25
  4. Step 4: Simplify right side
    62,824.50x = 9,438,948,293.06
  5. Step 5: Solve for x
    x = 9,438,948,293.06/62,824.50
  6. Step 6: Final answer
    x = 150,243.11

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