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Finding the Third Proportional to 51,440.50 and 112,729

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Solution

The third proportional to 51,440.50 and 112,729 is: 247,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,440.50 : 112,729 = 112,729 : x
  2. Step 2: Convert to fraction form
    51,440.50/112,729 = 112,729/x
  3. Step 3: Cross multiply
    51,440.50x = 112,729 × 112,729
  4. Step 4: Simplify right side
    51,440.50x = 12,707,827,441
  5. Step 5: Solve for x
    x = 12,707,827,441/51,440.50
  6. Step 6: Final answer
    x = 247,039.35

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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.