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Finding the Third Proportional to 125,693 and 271,066

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Solution

The third proportional to 125,693 and 271,066 is: 584,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,693 : 271,066 = 271,066 : x
  2. Step 2: Convert to fraction form
    125,693/271,066 = 271,066/x
  3. Step 3: Cross multiply
    125,693x = 271,066 × 271,066
  4. Step 4: Simplify right side
    125,693x = 73,476,776,356
  5. Step 5: Solve for x
    x = 73,476,776,356/125,693
  6. Step 6: Final answer
    x = 584,573.34

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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.