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Finding the Third Proportional to 125,780 and 186,960

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Solution

The third proportional to 125,780 and 186,960 is: 277,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,780 : 186,960 = 186,960 : x
  2. Step 2: Convert to fraction form
    125,780/186,960 = 186,960/x
  3. Step 3: Cross multiply
    125,780x = 186,960 × 186,960
  4. Step 4: Simplify right side
    125,780x = 34,954,041,600
  5. Step 5: Solve for x
    x = 34,954,041,600/125,780
  6. Step 6: Final answer
    x = 277,898.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.