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Finding the Third Proportional to 54,460.13 and 117,966.94

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Solution

The third proportional to 54,460.13 and 117,966.94 is: 255,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,460.13 : 117,966.94 = 117,966.94 : x
  2. Step 2: Convert to fraction form
    54,460.13/117,966.94 = 117,966.94/x
  3. Step 3: Cross multiply
    54,460.13x = 117,966.94 × 117,966.94
  4. Step 4: Simplify right side
    54,460.13x = 13,916,198,343.13
  5. Step 5: Solve for x
    x = 13,916,198,343.13/54,460.13
  6. Step 6: Final answer
    x = 255,530.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.