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Finding the Third Proportional to 61,854 and 99,588

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Solution

The third proportional to 61,854 and 99,588 is: 160,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,854 : 99,588 = 99,588 : x
  2. Step 2: Convert to fraction form
    61,854/99,588 = 99,588/x
  3. Step 3: Cross multiply
    61,854x = 99,588 × 99,588
  4. Step 4: Simplify right side
    61,854x = 9,917,769,744
  5. Step 5: Solve for x
    x = 9,917,769,744/61,854
  6. Step 6: Final answer
    x = 160,341.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.