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Finding the Third Proportional to 54,882 and 114,070

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Solution

The third proportional to 54,882 and 114,070 is: 237,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882 : 114,070 = 114,070 : x
  2. Step 2: Convert to fraction form
    54,882/114,070 = 114,070/x
  3. Step 3: Cross multiply
    54,882x = 114,070 × 114,070
  4. Step 4: Simplify right side
    54,882x = 13,011,964,900
  5. Step 5: Solve for x
    x = 13,011,964,900/54,882
  6. Step 6: Final answer
    x = 237,089.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.