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Finding the Third Proportional to 55,486 and 86,948

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Solution

The third proportional to 55,486 and 86,948 is: 136,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,486 : 86,948 = 86,948 : x
  2. Step 2: Convert to fraction form
    55,486/86,948 = 86,948/x
  3. Step 3: Cross multiply
    55,486x = 86,948 × 86,948
  4. Step 4: Simplify right side
    55,486x = 7,559,954,704
  5. Step 5: Solve for x
    x = 7,559,954,704/55,486
  6. Step 6: Final answer
    x = 136,249.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.