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Finding the Third Proportional to 118,536 and 181,765.88

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Solution

The third proportional to 118,536 and 181,765.88 is: 278,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,536 : 181,765.88 = 181,765.88 : x
  2. Step 2: Convert to fraction form
    118,536/181,765.88 = 181,765.88/x
  3. Step 3: Cross multiply
    118,536x = 181,765.88 × 181,765.88
  4. Step 4: Simplify right side
    118,536x = 33,038,833,314.52
  5. Step 5: Solve for x
    x = 33,038,833,314.52/118,536
  6. Step 6: Final answer
    x = 278,724.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.