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Finding the Third Proportional to 125,972 and 276,516

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Solution

The third proportional to 125,972 and 276,516 is: 606,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,972 : 276,516 = 276,516 : x
  2. Step 2: Convert to fraction form
    125,972/276,516 = 276,516/x
  3. Step 3: Cross multiply
    125,972x = 276,516 × 276,516
  4. Step 4: Simplify right side
    125,972x = 76,461,098,256
  5. Step 5: Solve for x
    x = 76,461,098,256/125,972
  6. Step 6: Final answer
    x = 606,969.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.