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Finding the Third Proportional to 65,482 and 142,959

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Solution

The third proportional to 65,482 and 142,959 is: 312,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482 : 142,959 = 142,959 : x
  2. Step 2: Convert to fraction form
    65,482/142,959 = 142,959/x
  3. Step 3: Cross multiply
    65,482x = 142,959 × 142,959
  4. Step 4: Simplify right side
    65,482x = 20,437,275,681
  5. Step 5: Solve for x
    x = 20,437,275,681/65,482
  6. Step 6: Final answer
    x = 312,105.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.