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Finding the Third Proportional to 58,938 and 127,291

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Solution

The third proportional to 58,938 and 127,291 is: 274,915.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,938 : 127,291 = 127,291 : x
  2. Step 2: Convert to fraction form
    58,938/127,291 = 127,291/x
  3. Step 3: Cross multiply
    58,938x = 127,291 × 127,291
  4. Step 4: Simplify right side
    58,938x = 16,202,998,681
  5. Step 5: Solve for x
    x = 16,202,998,681/58,938
  6. Step 6: Final answer
    x = 274,915.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.