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Finding the Third Proportional to 127,027.13 and 185,770.13

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Solution

The third proportional to 127,027.13 and 185,770.13 is: 271,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,027.13 : 185,770.13 = 185,770.13 : x
  2. Step 2: Convert to fraction form
    127,027.13/185,770.13 = 185,770.13/x
  3. Step 3: Cross multiply
    127,027.13x = 185,770.13 × 185,770.13
  4. Step 4: Simplify right side
    127,027.13x = 34,510,539,342.52
  5. Step 5: Solve for x
    x = 34,510,539,342.52/127,027.13
  6. Step 6: Final answer
    x = 271,678.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.