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Finding the Third Proportional to 56,752 and 123,331

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Solution

The third proportional to 56,752 and 123,331 is: 268,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,752 : 123,331 = 123,331 : x
  2. Step 2: Convert to fraction form
    56,752/123,331 = 123,331/x
  3. Step 3: Cross multiply
    56,752x = 123,331 × 123,331
  4. Step 4: Simplify right side
    56,752x = 15,210,535,561
  5. Step 5: Solve for x
    x = 15,210,535,561/56,752
  6. Step 6: Final answer
    x = 268,017.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.