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Finding the Third Proportional to 55,862 and 121,552

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Solution

The third proportional to 55,862 and 121,552 is: 264,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,862 : 121,552 = 121,552 : x
  2. Step 2: Convert to fraction form
    55,862/121,552 = 121,552/x
  3. Step 3: Cross multiply
    55,862x = 121,552 × 121,552
  4. Step 4: Simplify right side
    55,862x = 14,774,888,704
  5. Step 5: Solve for x
    x = 14,774,888,704/55,862
  6. Step 6: Final answer
    x = 264,489.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.