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Finding the Third Proportional to 125,013.38 and 175,005.56

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Solution

The third proportional to 125,013.38 and 175,005.56 is: 244,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,013.38 : 175,005.56 = 175,005.56 : x
  2. Step 2: Convert to fraction form
    125,013.38/175,005.56 = 175,005.56/x
  3. Step 3: Cross multiply
    125,013.38x = 175,005.56 × 175,005.56
  4. Step 4: Simplify right side
    125,013.38x = 30,626,946,905.94
  5. Step 5: Solve for x
    x = 30,626,946,905.94/125,013.38
  6. Step 6: Final answer
    x = 244,989.36

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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.