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Finding the Third Proportional to 51,446 and 112,740

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Solution

The third proportional to 51,446 and 112,740 is: 247,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,446 : 112,740 = 112,740 : x
  2. Step 2: Convert to fraction form
    51,446/112,740 = 112,740/x
  3. Step 3: Cross multiply
    51,446x = 112,740 × 112,740
  4. Step 4: Simplify right side
    51,446x = 12,710,307,600
  5. Step 5: Solve for x
    x = 12,710,307,600/51,446
  6. Step 6: Final answer
    x = 247,061.14

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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.