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Finding the Third Proportional to 30,239 and 65,725

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Solution

The third proportional to 30,239 and 65,725 is: 142,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,239 : 65,725 = 65,725 : x
  2. Step 2: Convert to fraction form
    30,239/65,725 = 65,725/x
  3. Step 3: Cross multiply
    30,239x = 65,725 × 65,725
  4. Step 4: Simplify right side
    30,239x = 4,319,775,625
  5. Step 5: Solve for x
    x = 4,319,775,625/30,239
  6. Step 6: Final answer
    x = 142,854.45

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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.