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Finding the Third Proportional to 61,466 and 98,583

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Solution

The third proportional to 61,466 and 98,583 is: 158,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,466 : 98,583 = 98,583 : x
  2. Step 2: Convert to fraction form
    61,466/98,583 = 98,583/x
  3. Step 3: Cross multiply
    61,466x = 98,583 × 98,583
  4. Step 4: Simplify right side
    61,466x = 9,718,607,889
  5. Step 5: Solve for x
    x = 9,718,607,889/61,466
  6. Step 6: Final answer
    x = 158,113.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.