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Finding the Third Proportional to 65,448 and 141,352

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Solution

The third proportional to 65,448 and 141,352 is: 305,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,448 : 141,352 = 141,352 : x
  2. Step 2: Convert to fraction form
    65,448/141,352 = 141,352/x
  3. Step 3: Cross multiply
    65,448x = 141,352 × 141,352
  4. Step 4: Simplify right side
    65,448x = 19,980,387,904
  5. Step 5: Solve for x
    x = 19,980,387,904/65,448
  6. Step 6: Final answer
    x = 305,286.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.