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Finding the Third Proportional to 57,530 and 77,315

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Solution

The third proportional to 57,530 and 77,315 is: 103,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,530 : 77,315 = 77,315 : x
  2. Step 2: Convert to fraction form
    57,530/77,315 = 77,315/x
  3. Step 3: Cross multiply
    57,530x = 77,315 × 77,315
  4. Step 4: Simplify right side
    57,530x = 5,977,609,225
  5. Step 5: Solve for x
    x = 5,977,609,225/57,530
  6. Step 6: Final answer
    x = 103,904.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.