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Finding the Third Proportional to 58,588 and 127,868

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Solution

The third proportional to 58,588 and 127,868 is: 279,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,588 : 127,868 = 127,868 : x
  2. Step 2: Convert to fraction form
    58,588/127,868 = 127,868/x
  3. Step 3: Cross multiply
    58,588x = 127,868 × 127,868
  4. Step 4: Simplify right side
    58,588x = 16,350,225,424
  5. Step 5: Solve for x
    x = 16,350,225,424/58,588
  6. Step 6: Final answer
    x = 279,071.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.