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Finding the Third Proportional to 51,420 and 112,688

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Solution

The third proportional to 51,420 and 112,688 is: 246,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,420 : 112,688 = 112,688 : x
  2. Step 2: Convert to fraction form
    51,420/112,688 = 112,688/x
  3. Step 3: Cross multiply
    51,420x = 112,688 × 112,688
  4. Step 4: Simplify right side
    51,420x = 12,698,585,344
  5. Step 5: Solve for x
    x = 12,698,585,344/51,420
  6. Step 6: Final answer
    x = 246,958.10

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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.