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Finding the Third Proportional to 57,062 and 83,532

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Solution

The third proportional to 57,062 and 83,532 is: 122,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,062 : 83,532 = 83,532 : x
  2. Step 2: Convert to fraction form
    57,062/83,532 = 83,532/x
  3. Step 3: Cross multiply
    57,062x = 83,532 × 83,532
  4. Step 4: Simplify right side
    57,062x = 6,977,595,024
  5. Step 5: Solve for x
    x = 6,977,595,024/57,062
  6. Step 6: Final answer
    x = 122,280.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.