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Finding the Third Proportional to 124,401 and 187,497

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Solution

The third proportional to 124,401 and 187,497 is: 282,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,401 : 187,497 = 187,497 : x
  2. Step 2: Convert to fraction form
    124,401/187,497 = 187,497/x
  3. Step 3: Cross multiply
    124,401x = 187,497 × 187,497
  4. Step 4: Simplify right side
    124,401x = 35,155,125,009
  5. Step 5: Solve for x
    x = 35,155,125,009/124,401
  6. Step 6: Final answer
    x = 282,595.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.