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Finding the Third Proportional to 127,689 and 202,092

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Solution

The third proportional to 127,689 and 202,092 is: 319,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,689 : 202,092 = 202,092 : x
  2. Step 2: Convert to fraction form
    127,689/202,092 = 202,092/x
  3. Step 3: Cross multiply
    127,689x = 202,092 × 202,092
  4. Step 4: Simplify right side
    127,689x = 40,841,176,464
  5. Step 5: Solve for x
    x = 40,841,176,464/127,689
  6. Step 6: Final answer
    x = 319,848.82

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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.