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Finding the Third Proportional to 62,643.38 and 97,147.69

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Solution

The third proportional to 62,643.38 and 97,147.69 is: 150,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,643.38 : 97,147.69 = 97,147.69 : x
  2. Step 2: Convert to fraction form
    62,643.38/97,147.69 = 97,147.69/x
  3. Step 3: Cross multiply
    62,643.38x = 97,147.69 × 97,147.69
  4. Step 4: Simplify right side
    62,643.38x = 9,437,673,186.60
  5. Step 5: Solve for x
    x = 9,437,673,186.60/62,643.38
  6. Step 6: Final answer
    x = 150,657.16

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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.