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Finding the Third Proportional to 58,313 and 120,775

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Solution

The third proportional to 58,313 and 120,775 is: 250,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,313 : 120,775 = 120,775 : x
  2. Step 2: Convert to fraction form
    58,313/120,775 = 120,775/x
  3. Step 3: Cross multiply
    58,313x = 120,775 × 120,775
  4. Step 4: Simplify right side
    58,313x = 14,586,600,625
  5. Step 5: Solve for x
    x = 14,586,600,625/58,313
  6. Step 6: Final answer
    x = 250,143.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.