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Finding the Third Proportional to 58,897 and 127,829

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Solution

The third proportional to 58,897 and 127,829 is: 277,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,897 : 127,829 = 127,829 : x
  2. Step 2: Convert to fraction form
    58,897/127,829 = 127,829/x
  3. Step 3: Cross multiply
    58,897x = 127,829 × 127,829
  4. Step 4: Simplify right side
    58,897x = 16,340,253,241
  5. Step 5: Solve for x
    x = 16,340,253,241/58,897
  6. Step 6: Final answer
    x = 277,437.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.