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Finding the Third Proportional to 125,029 and 294,960

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Solution

The third proportional to 125,029 and 294,960 is: 695,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,029 : 294,960 = 294,960 : x
  2. Step 2: Convert to fraction form
    125,029/294,960 = 294,960/x
  3. Step 3: Cross multiply
    125,029x = 294,960 × 294,960
  4. Step 4: Simplify right side
    125,029x = 87,001,401,600
  5. Step 5: Solve for x
    x = 87,001,401,600/125,029
  6. Step 6: Final answer
    x = 695,849.78

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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.