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Finding the Third Proportional to 58,073 and 127,217

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Solution

The third proportional to 58,073 and 127,217 is: 278,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,073 : 127,217 = 127,217 : x
  2. Step 2: Convert to fraction form
    58,073/127,217 = 127,217/x
  3. Step 3: Cross multiply
    58,073x = 127,217 × 127,217
  4. Step 4: Simplify right side
    58,073x = 16,184,165,089
  5. Step 5: Solve for x
    x = 16,184,165,089/58,073
  6. Step 6: Final answer
    x = 278,686.57

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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.