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Finding the Third Proportional to 34,534 and 75,655

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Solution

The third proportional to 34,534 and 75,655 is: 165,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534 : 75,655 = 75,655 : x
  2. Step 2: Convert to fraction form
    34,534/75,655 = 75,655/x
  3. Step 3: Cross multiply
    34,534x = 75,655 × 75,655
  4. Step 4: Simplify right side
    34,534x = 5,723,679,025
  5. Step 5: Solve for x
    x = 5,723,679,025/34,534
  6. Step 6: Final answer
    x = 165,740.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.