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Finding the Third Proportional to 62,638.50 and 97,010.25

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Solution

The third proportional to 62,638.50 and 97,010.25 is: 150,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,638.50 : 97,010.25 = 97,010.25 : x
  2. Step 2: Convert to fraction form
    62,638.50/97,010.25 = 97,010.25/x
  3. Step 3: Cross multiply
    62,638.50x = 97,010.25 × 97,010.25
  4. Step 4: Simplify right side
    62,638.50x = 9,410,988,605.06
  5. Step 5: Solve for x
    x = 9,410,988,605.06/62,638.50
  6. Step 6: Final answer
    x = 150,242.88

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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.