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Finding the Third Proportional to 63,446 and 98,175

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Solution

The third proportional to 63,446 and 98,175 is: 151,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,446 : 98,175 = 98,175 : x
  2. Step 2: Convert to fraction form
    63,446/98,175 = 98,175/x
  3. Step 3: Cross multiply
    63,446x = 98,175 × 98,175
  4. Step 4: Simplify right side
    63,446x = 9,638,330,625
  5. Step 5: Solve for x
    x = 9,638,330,625/63,446
  6. Step 6: Final answer
    x = 151,913.92

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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.