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Finding the Third Proportional to 63,142 and 98,033

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Solution

The third proportional to 63,142 and 98,033 is: 152,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,142 : 98,033 = 98,033 : x
  2. Step 2: Convert to fraction form
    63,142/98,033 = 98,033/x
  3. Step 3: Cross multiply
    63,142x = 98,033 × 98,033
  4. Step 4: Simplify right side
    63,142x = 9,610,469,089
  5. Step 5: Solve for x
    x = 9,610,469,089/63,142
  6. Step 6: Final answer
    x = 152,204.07

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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.