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Finding the Third Proportional to 57,534 and 77,733

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Solution

The third proportional to 57,534 and 77,733 is: 105,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,534 : 77,733 = 77,733 : x
  2. Step 2: Convert to fraction form
    57,534/77,733 = 77,733/x
  3. Step 3: Cross multiply
    57,534x = 77,733 × 77,733
  4. Step 4: Simplify right side
    57,534x = 6,042,419,289
  5. Step 5: Solve for x
    x = 6,042,419,289/57,534
  6. Step 6: Final answer
    x = 105,023.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.