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Finding the Third Proportional to 55,948 and 87,774

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Solution

The third proportional to 55,948 and 87,774 is: 137,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,948 : 87,774 = 87,774 : x
  2. Step 2: Convert to fraction form
    55,948/87,774 = 87,774/x
  3. Step 3: Cross multiply
    55,948x = 87,774 × 87,774
  4. Step 4: Simplify right side
    55,948x = 7,704,275,076
  5. Step 5: Solve for x
    x = 7,704,275,076/55,948
  6. Step 6: Final answer
    x = 137,704.21

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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.