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Finding the Third Proportional to 114,718.78 and 127,635.75

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Solution

The third proportional to 114,718.78 and 127,635.75 is: 142,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,718.78 : 127,635.75 = 127,635.75 : x
  2. Step 2: Convert to fraction form
    114,718.78/127,635.75 = 127,635.75/x
  3. Step 3: Cross multiply
    114,718.78x = 127,635.75 × 127,635.75
  4. Step 4: Simplify right side
    114,718.78x = 16,290,884,678.06
  5. Step 5: Solve for x
    x = 16,290,884,678.06/114,718.78
  6. Step 6: Final answer
    x = 142,007.13

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.