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Finding the Third Proportional to 63,908 and 98,853

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Solution

The third proportional to 63,908 and 98,853 is: 152,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,908 : 98,853 = 98,853 : x
  2. Step 2: Convert to fraction form
    63,908/98,853 = 98,853/x
  3. Step 3: Cross multiply
    63,908x = 98,853 × 98,853
  4. Step 4: Simplify right side
    63,908x = 9,771,915,609
  5. Step 5: Solve for x
    x = 9,771,915,609/63,908
  6. Step 6: Final answer
    x = 152,905.98

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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.