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Finding the Third Proportional to 125,552 and 178,960

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Solution

The third proportional to 125,552 and 178,960 is: 255,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,552 : 178,960 = 178,960 : x
  2. Step 2: Convert to fraction form
    125,552/178,960 = 178,960/x
  3. Step 3: Cross multiply
    125,552x = 178,960 × 178,960
  4. Step 4: Simplify right side
    125,552x = 32,026,681,600
  5. Step 5: Solve for x
    x = 32,026,681,600/125,552
  6. Step 6: Final answer
    x = 255,086.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.