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Finding the Third Proportional to 61,403.77 and 97,641.70

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Solution

The third proportional to 61,403.77 and 97,641.70 is: 155,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,403.77 : 97,641.70 = 97,641.70 : x
  2. Step 2: Convert to fraction form
    61,403.77/97,641.70 = 97,641.70/x
  3. Step 3: Cross multiply
    61,403.77x = 97,641.70 × 97,641.70
  4. Step 4: Simplify right side
    61,403.77x = 9,533,902,189.15
  5. Step 5: Solve for x
    x = 9,533,902,189.15/61,403.77
  6. Step 6: Final answer
    x = 155,265.76

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