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Finding the Third Proportional to 61,598 and 85,822

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Solution

The third proportional to 61,598 and 85,822 is: 119,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,598 : 85,822 = 85,822 : x
  2. Step 2: Convert to fraction form
    61,598/85,822 = 85,822/x
  3. Step 3: Cross multiply
    61,598x = 85,822 × 85,822
  4. Step 4: Simplify right side
    61,598x = 7,365,415,684
  5. Step 5: Solve for x
    x = 7,365,415,684/61,598
  6. Step 6: Final answer
    x = 119,572.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.