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Finding the Third Proportional to 58,414 and 91,514

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Solution

The third proportional to 58,414 and 91,514 is: 143,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,414 : 91,514 = 91,514 : x
  2. Step 2: Convert to fraction form
    58,414/91,514 = 91,514/x
  3. Step 3: Cross multiply
    58,414x = 91,514 × 91,514
  4. Step 4: Simplify right side
    58,414x = 8,374,812,196
  5. Step 5: Solve for x
    x = 8,374,812,196/58,414
  6. Step 6: Final answer
    x = 143,369.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.