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Finding the Third Proportional to 125,725 and 271,133

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Solution

The third proportional to 125,725 and 271,133 is: 584,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,725 : 271,133 = 271,133 : x
  2. Step 2: Convert to fraction form
    125,725/271,133 = 271,133/x
  3. Step 3: Cross multiply
    125,725x = 271,133 × 271,133
  4. Step 4: Simplify right side
    125,725x = 73,513,103,689
  5. Step 5: Solve for x
    x = 73,513,103,689/125,725
  6. Step 6: Final answer
    x = 584,713.49

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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.