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Finding the Third Proportional to 125,335.13 and 186,463.69

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Solution

The third proportional to 125,335.13 and 186,463.69 is: 277,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,335.13 : 186,463.69 = 186,463.69 : x
  2. Step 2: Convert to fraction form
    125,335.13/186,463.69 = 186,463.69/x
  3. Step 3: Cross multiply
    125,335.13x = 186,463.69 × 186,463.69
  4. Step 4: Simplify right side
    125,335.13x = 34,768,706,756.10
  5. Step 5: Solve for x
    x = 34,768,706,756.10/125,335.13
  6. Step 6: Final answer
    x = 277,405.93

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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.