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Finding the Third Proportional to 59,534 and 80,854

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Solution

The third proportional to 59,534 and 80,854 is: 109,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,534 : 80,854 = 80,854 : x
  2. Step 2: Convert to fraction form
    59,534/80,854 = 80,854/x
  3. Step 3: Cross multiply
    59,534x = 80,854 × 80,854
  4. Step 4: Simplify right side
    59,534x = 6,537,369,316
  5. Step 5: Solve for x
    x = 6,537,369,316/59,534
  6. Step 6: Final answer
    x = 109,809.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.