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Finding the Third Proportional to 127,677 and 202,074

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Solution

The third proportional to 127,677 and 202,074 is: 319,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,677 : 202,074 = 202,074 : x
  2. Step 2: Convert to fraction form
    127,677/202,074 = 202,074/x
  3. Step 3: Cross multiply
    127,677x = 202,074 × 202,074
  4. Step 4: Simplify right side
    127,677x = 40,833,901,476
  5. Step 5: Solve for x
    x = 40,833,901,476/127,677
  6. Step 6: Final answer
    x = 319,821.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.