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Finding the Third Proportional to 58,098 and 127,272

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Solution

The third proportional to 58,098 and 127,272 is: 278,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,098 : 127,272 = 127,272 : x
  2. Step 2: Convert to fraction form
    58,098/127,272 = 127,272/x
  3. Step 3: Cross multiply
    58,098x = 127,272 × 127,272
  4. Step 4: Simplify right side
    58,098x = 16,198,161,984
  5. Step 5: Solve for x
    x = 16,198,161,984/58,098
  6. Step 6: Final answer
    x = 278,807.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.