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Finding the Third Proportional to 54,149 and 84,963

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Solution

The third proportional to 54,149 and 84,963 is: 133,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,149 : 84,963 = 84,963 : x
  2. Step 2: Convert to fraction form
    54,149/84,963 = 84,963/x
  3. Step 3: Cross multiply
    54,149x = 84,963 × 84,963
  4. Step 4: Simplify right side
    54,149x = 7,218,711,369
  5. Step 5: Solve for x
    x = 7,218,711,369/54,149
  6. Step 6: Final answer
    x = 133,312.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.