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Finding the Third Proportional to 125,788 and 271,484

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Solution

The third proportional to 125,788 and 271,484 is: 585,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,788 : 271,484 = 271,484 : x
  2. Step 2: Convert to fraction form
    125,788/271,484 = 271,484/x
  3. Step 3: Cross multiply
    125,788x = 271,484 × 271,484
  4. Step 4: Simplify right side
    125,788x = 73,703,562,256
  5. Step 5: Solve for x
    x = 73,703,562,256/125,788
  6. Step 6: Final answer
    x = 585,934.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.