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Finding the Third Proportional to 125,580 and 176,000

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Solution

The third proportional to 125,580 and 176,000 is: 246,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,580 : 176,000 = 176,000 : x
  2. Step 2: Convert to fraction form
    125,580/176,000 = 176,000/x
  3. Step 3: Cross multiply
    125,580x = 176,000 × 176,000
  4. Step 4: Simplify right side
    125,580x = 30,976,000,000
  5. Step 5: Solve for x
    x = 30,976,000,000/125,580
  6. Step 6: Final answer
    x = 246,663.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.