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Finding the Third Proportional to 35,742 and 78,534

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Solution

The third proportional to 35,742 and 78,534 is: 172,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742 : 78,534 = 78,534 : x
  2. Step 2: Convert to fraction form
    35,742/78,534 = 78,534/x
  3. Step 3: Cross multiply
    35,742x = 78,534 × 78,534
  4. Step 4: Simplify right side
    35,742x = 6,167,589,156
  5. Step 5: Solve for x
    x = 6,167,589,156/35,742
  6. Step 6: Final answer
    x = 172,558.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.