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Finding the Third Proportional to 127,192 and 201,359

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Solution

The third proportional to 127,192 and 201,359 is: 318,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,192 : 201,359 = 201,359 : x
  2. Step 2: Convert to fraction form
    127,192/201,359 = 201,359/x
  3. Step 3: Cross multiply
    127,192x = 201,359 × 201,359
  4. Step 4: Simplify right side
    127,192x = 40,545,446,881
  5. Step 5: Solve for x
    x = 40,545,446,881/127,192
  6. Step 6: Final answer
    x = 318,773.56

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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.