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Finding the Third Proportional to 55,360 and 85,957

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Solution

The third proportional to 55,360 and 85,957 is: 133,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,360 : 85,957 = 85,957 : x
  2. Step 2: Convert to fraction form
    55,360/85,957 = 85,957/x
  3. Step 3: Cross multiply
    55,360x = 85,957 × 85,957
  4. Step 4: Simplify right side
    55,360x = 7,388,605,849
  5. Step 5: Solve for x
    x = 7,388,605,849/55,360
  6. Step 6: Final answer
    x = 133,464.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.