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Finding the Third Proportional to 63,585 and 98,301

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Solution

The third proportional to 63,585 and 98,301 is: 151,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,585 : 98,301 = 98,301 : x
  2. Step 2: Convert to fraction form
    63,585/98,301 = 98,301/x
  3. Step 3: Cross multiply
    63,585x = 98,301 × 98,301
  4. Step 4: Simplify right side
    63,585x = 9,663,086,601
  5. Step 5: Solve for x
    x = 9,663,086,601/63,585
  6. Step 6: Final answer
    x = 151,971.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.