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Finding the Third Proportional to 52,785 and 124,552.69

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Solution

The third proportional to 52,785 and 124,552.69 is: 293,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,785 : 124,552.69 = 124,552.69 : x
  2. Step 2: Convert to fraction form
    52,785/124,552.69 = 124,552.69/x
  3. Step 3: Cross multiply
    52,785x = 124,552.69 × 124,552.69
  4. Step 4: Simplify right side
    52,785x = 15,513,371,963.47
  5. Step 5: Solve for x
    x = 15,513,371,963.47/52,785
  6. Step 6: Final answer
    x = 293,897.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.