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Finding the Third Proportional to 74,854.13 and 153,200.81

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Solution

The third proportional to 74,854.13 and 153,200.81 is: 313,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,854.13 : 153,200.81 = 153,200.81 : x
  2. Step 2: Convert to fraction form
    74,854.13/153,200.81 = 153,200.81/x
  3. Step 3: Cross multiply
    74,854.13x = 153,200.81 × 153,200.81
  4. Step 4: Simplify right side
    74,854.13x = 23,470,488,950.66
  5. Step 5: Solve for x
    x = 23,470,488,950.66/74,854.13
  6. Step 6: Final answer
    x = 313,549.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.