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Finding the Third Proportional to 125,445 and 271,337

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Solution

The third proportional to 125,445 and 271,337 is: 586,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,445 : 271,337 = 271,337 : x
  2. Step 2: Convert to fraction form
    125,445/271,337 = 271,337/x
  3. Step 3: Cross multiply
    125,445x = 271,337 × 271,337
  4. Step 4: Simplify right side
    125,445x = 73,623,767,569
  5. Step 5: Solve for x
    x = 73,623,767,569/125,445
  6. Step 6: Final answer
    x = 586,900.77

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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.