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Finding the Third Proportional to 57,288 and 91,148

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Solution

The third proportional to 57,288 and 91,148 is: 145,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,288 : 91,148 = 91,148 : x
  2. Step 2: Convert to fraction form
    57,288/91,148 = 91,148/x
  3. Step 3: Cross multiply
    57,288x = 91,148 × 91,148
  4. Step 4: Simplify right side
    57,288x = 8,307,957,904
  5. Step 5: Solve for x
    x = 8,307,957,904/57,288
  6. Step 6: Final answer
    x = 145,020.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.