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Finding the Third Proportional to 58,531 and 128,214

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Solution

The third proportional to 58,531 and 128,214 is: 280,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,531 : 128,214 = 128,214 : x
  2. Step 2: Convert to fraction form
    58,531/128,214 = 128,214/x
  3. Step 3: Cross multiply
    58,531x = 128,214 × 128,214
  4. Step 4: Simplify right side
    58,531x = 16,438,829,796
  5. Step 5: Solve for x
    x = 16,438,829,796/58,531
  6. Step 6: Final answer
    x = 280,856.81

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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.