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Finding the Third Proportional to 125,758.83 and 186,929.65

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Solution

The third proportional to 125,758.83 and 186,929.65 is: 277,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,758.83 : 186,929.65 = 186,929.65 : x
  2. Step 2: Convert to fraction form
    125,758.83/186,929.65 = 186,929.65/x
  3. Step 3: Cross multiply
    125,758.83x = 186,929.65 × 186,929.65
  4. Step 4: Simplify right side
    125,758.83x = 34,942,693,464.97
  5. Step 5: Solve for x
    x = 34,942,693,464.97/125,758.83
  6. Step 6: Final answer
    x = 277,854.80

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