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Finding the Third Proportional to 127,877.63 and 191,818.13

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Solution

The third proportional to 127,877.63 and 191,818.13 is: 287,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,877.63 : 191,818.13 = 191,818.13 : x
  2. Step 2: Convert to fraction form
    127,877.63/191,818.13 = 191,818.13/x
  3. Step 3: Cross multiply
    127,877.63x = 191,818.13 × 191,818.13
  4. Step 4: Simplify right side
    127,877.63x = 36,794,193,078.52
  5. Step 5: Solve for x
    x = 36,794,193,078.52/127,877.63
  6. Step 6: Final answer
    x = 287,729.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.