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Finding the Third Proportional to 56,386.13 and 133,584.19

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Solution

The third proportional to 56,386.13 and 133,584.19 is: 316,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,386.13 : 133,584.19 = 133,584.19 : x
  2. Step 2: Convert to fraction form
    56,386.13/133,584.19 = 133,584.19/x
  3. Step 3: Cross multiply
    56,386.13x = 133,584.19 × 133,584.19
  4. Step 4: Simplify right side
    56,386.13x = 17,844,735,150.04
  5. Step 5: Solve for x
    x = 17,844,735,150.04/56,386.13
  6. Step 6: Final answer
    x = 316,473.87

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.