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Finding the Third Proportional to 58,562 and 92,638

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Solution

The third proportional to 58,562 and 92,638 is: 146,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,562 : 92,638 = 92,638 : x
  2. Step 2: Convert to fraction form
    58,562/92,638 = 92,638/x
  3. Step 3: Cross multiply
    58,562x = 92,638 × 92,638
  4. Step 4: Simplify right side
    58,562x = 8,581,799,044
  5. Step 5: Solve for x
    x = 8,581,799,044/58,562
  6. Step 6: Final answer
    x = 146,542.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.