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Finding the Third Proportional to 51,500 and 112,842

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Solution

The third proportional to 51,500 and 112,842 is: 247,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,500 : 112,842 = 112,842 : x
  2. Step 2: Convert to fraction form
    51,500/112,842 = 112,842/x
  3. Step 3: Cross multiply
    51,500x = 112,842 × 112,842
  4. Step 4: Simplify right side
    51,500x = 12,733,316,964
  5. Step 5: Solve for x
    x = 12,733,316,964/51,500
  6. Step 6: Final answer
    x = 247,248.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.