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Finding the Third Proportional to 57,146 and 85,664

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Solution

The third proportional to 57,146 and 85,664 is: 128,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,146 : 85,664 = 85,664 : x
  2. Step 2: Convert to fraction form
    57,146/85,664 = 85,664/x
  3. Step 3: Cross multiply
    57,146x = 85,664 × 85,664
  4. Step 4: Simplify right side
    57,146x = 7,338,320,896
  5. Step 5: Solve for x
    x = 7,338,320,896/57,146
  6. Step 6: Final answer
    x = 128,413.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.