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Finding the Third Proportional to 54,065.60 and 118,656.14

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Solution

The third proportional to 54,065.60 and 118,656.14 is: 260,411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,065.60 : 118,656.14 = 118,656.14 : x
  2. Step 2: Convert to fraction form
    54,065.60/118,656.14 = 118,656.14/x
  3. Step 3: Cross multiply
    54,065.60x = 118,656.14 × 118,656.14
  4. Step 4: Simplify right side
    54,065.60x = 14,079,279,708.02
  5. Step 5: Solve for x
    x = 14,079,279,708.02/54,065.60
  6. Step 6: Final answer
    x = 260,411.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.