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Finding the Third Proportional to 34,743 and 75,702

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Solution

The third proportional to 34,743 and 75,702 is: 164,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,743 : 75,702 = 75,702 : x
  2. Step 2: Convert to fraction form
    34,743/75,702 = 75,702/x
  3. Step 3: Cross multiply
    34,743x = 75,702 × 75,702
  4. Step 4: Simplify right side
    34,743x = 5,730,792,804
  5. Step 5: Solve for x
    x = 5,730,792,804/34,743
  6. Step 6: Final answer
    x = 164,948.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.