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Finding the Third Proportional to 75,432 and 148,960

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Solution

The third proportional to 75,432 and 148,960 is: 294,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,432 : 148,960 = 148,960 : x
  2. Step 2: Convert to fraction form
    75,432/148,960 = 148,960/x
  3. Step 3: Cross multiply
    75,432x = 148,960 × 148,960
  4. Step 4: Simplify right side
    75,432x = 22,189,081,600
  5. Step 5: Solve for x
    x = 22,189,081,600/75,432
  6. Step 6: Final answer
    x = 294,160.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.