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Finding the Third Proportional to 61,464 and 98,580

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Solution

The third proportional to 61,464 and 98,580 is: 158,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464 : 98,580 = 98,580 : x
  2. Step 2: Convert to fraction form
    61,464/98,580 = 98,580/x
  3. Step 3: Cross multiply
    61,464x = 98,580 × 98,580
  4. Step 4: Simplify right side
    61,464x = 9,718,016,400
  5. Step 5: Solve for x
    x = 9,718,016,400/61,464
  6. Step 6: Final answer
    x = 158,109.08

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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.