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Finding the Third Proportional to 53,390 and 124,727

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Solution

The third proportional to 53,390 and 124,727 is: 291,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,390 : 124,727 = 124,727 : x
  2. Step 2: Convert to fraction form
    53,390/124,727 = 124,727/x
  3. Step 3: Cross multiply
    53,390x = 124,727 × 124,727
  4. Step 4: Simplify right side
    53,390x = 15,556,824,529
  5. Step 5: Solve for x
    x = 15,556,824,529/53,390
  6. Step 6: Final answer
    x = 291,380.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.