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Finding the Third Proportional to 73,552 and 158,432

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Solution

The third proportional to 73,552 and 158,432 is: 341,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,552 : 158,432 = 158,432 : x
  2. Step 2: Convert to fraction form
    73,552/158,432 = 158,432/x
  3. Step 3: Cross multiply
    73,552x = 158,432 × 158,432
  4. Step 4: Simplify right side
    73,552x = 25,100,698,624
  5. Step 5: Solve for x
    x = 25,100,698,624/73,552
  6. Step 6: Final answer
    x = 341,264.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.