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Finding the Third Proportional to 58,854 and 75,566

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Solution

The third proportional to 58,854 and 75,566 is: 97,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,854 : 75,566 = 75,566 : x
  2. Step 2: Convert to fraction form
    58,854/75,566 = 75,566/x
  3. Step 3: Cross multiply
    58,854x = 75,566 × 75,566
  4. Step 4: Simplify right side
    58,854x = 5,710,220,356
  5. Step 5: Solve for x
    x = 5,710,220,356/58,854
  6. Step 6: Final answer
    x = 97,023.49

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.