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Finding the Third Proportional to 63,342 and 85,020

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Solution

The third proportional to 63,342 and 85,020 is: 114,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,342 : 85,020 = 85,020 : x
  2. Step 2: Convert to fraction form
    63,342/85,020 = 85,020/x
  3. Step 3: Cross multiply
    63,342x = 85,020 × 85,020
  4. Step 4: Simplify right side
    63,342x = 7,228,400,400
  5. Step 5: Solve for x
    x = 7,228,400,400/63,342
  6. Step 6: Final answer
    x = 114,117.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.