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Finding the Third Proportional to 65,856 and 142,952

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Solution

The third proportional to 65,856 and 142,952 is: 310,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,856 : 142,952 = 142,952 : x
  2. Step 2: Convert to fraction form
    65,856/142,952 = 142,952/x
  3. Step 3: Cross multiply
    65,856x = 142,952 × 142,952
  4. Step 4: Simplify right side
    65,856x = 20,435,274,304
  5. Step 5: Solve for x
    x = 20,435,274,304/65,856
  6. Step 6: Final answer
    x = 310,302.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.