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Finding the Third Proportional to 52,534.69 and 78,616.13

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Solution

The third proportional to 52,534.69 and 78,616.13 is: 117,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,534.69 : 78,616.13 = 78,616.13 : x
  2. Step 2: Convert to fraction form
    52,534.69/78,616.13 = 78,616.13/x
  3. Step 3: Cross multiply
    52,534.69x = 78,616.13 × 78,616.13
  4. Step 4: Simplify right side
    52,534.69x = 6,180,495,110.02
  5. Step 5: Solve for x
    x = 6,180,495,110.02/52,534.69
  6. Step 6: Final answer
    x = 117,645.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.