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Finding the Third Proportional to 52,132 and 123,038

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Solution

The third proportional to 52,132 and 123,038 is: 290,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,132 : 123,038 = 123,038 : x
  2. Step 2: Convert to fraction form
    52,132/123,038 = 123,038/x
  3. Step 3: Cross multiply
    52,132x = 123,038 × 123,038
  4. Step 4: Simplify right side
    52,132x = 15,138,349,444
  5. Step 5: Solve for x
    x = 15,138,349,444/52,132
  6. Step 6: Final answer
    x = 290,384.97

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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.