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Finding the Third Proportional to 51,490 and 112,820

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Solution

The third proportional to 51,490 and 112,820 is: 247,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,490 : 112,820 = 112,820 : x
  2. Step 2: Convert to fraction form
    51,490/112,820 = 112,820/x
  3. Step 3: Cross multiply
    51,490x = 112,820 × 112,820
  4. Step 4: Simplify right side
    51,490x = 12,728,352,400
  5. Step 5: Solve for x
    x = 12,728,352,400/51,490
  6. Step 6: Final answer
    x = 247,200.47

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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.