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Finding the Third Proportional to 54,423.14 and 84,060.28

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Solution

The third proportional to 54,423.14 and 84,060.28 is: 129,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,423.14 : 84,060.28 = 84,060.28 : x
  2. Step 2: Convert to fraction form
    54,423.14/84,060.28 = 84,060.28/x
  3. Step 3: Cross multiply
    54,423.14x = 84,060.28 × 84,060.28
  4. Step 4: Simplify right side
    54,423.14x = 7,066,130,883.83
  5. Step 5: Solve for x
    x = 7,066,130,883.83/54,423.14
  6. Step 6: Final answer
    x = 129,836.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.