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Finding the Third Proportional to 48,613 and 106,370

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Solution

The third proportional to 48,613 and 106,370 is: 232,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,613 : 106,370 = 106,370 : x
  2. Step 2: Convert to fraction form
    48,613/106,370 = 106,370/x
  3. Step 3: Cross multiply
    48,613x = 106,370 × 106,370
  4. Step 4: Simplify right side
    48,613x = 11,314,576,900
  5. Step 5: Solve for x
    x = 11,314,576,900/48,613
  6. Step 6: Final answer
    x = 232,747.97

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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.