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Finding the Third Proportional to 48,143 and 105,586

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Solution

The third proportional to 48,143 and 105,586 is: 231,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,143 : 105,586 = 105,586 : x
  2. Step 2: Convert to fraction form
    48,143/105,586 = 105,586/x
  3. Step 3: Cross multiply
    48,143x = 105,586 × 105,586
  4. Step 4: Simplify right side
    48,143x = 11,148,403,396
  5. Step 5: Solve for x
    x = 11,148,403,396/48,143
  6. Step 6: Final answer
    x = 231,568.52

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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.