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Finding the Third Proportional to 56,490 and 111,552

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Solution

The third proportional to 56,490 and 111,552 is: 220,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,490 : 111,552 = 111,552 : x
  2. Step 2: Convert to fraction form
    56,490/111,552 = 111,552/x
  3. Step 3: Cross multiply
    56,490x = 111,552 × 111,552
  4. Step 4: Simplify right side
    56,490x = 12,443,848,704
  5. Step 5: Solve for x
    x = 12,443,848,704/56,490
  6. Step 6: Final answer
    x = 220,284.10

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.