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Finding the Third Proportional to 58,330 and 120,287

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Solution

The third proportional to 58,330 and 120,287 is: 248,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,330 : 120,287 = 120,287 : x
  2. Step 2: Convert to fraction form
    58,330/120,287 = 120,287/x
  3. Step 3: Cross multiply
    58,330x = 120,287 × 120,287
  4. Step 4: Simplify right side
    58,330x = 14,468,962,369
  5. Step 5: Solve for x
    x = 14,468,962,369/58,330
  6. Step 6: Final answer
    x = 248,053.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.