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Finding the Third Proportional to 34,264 and 74,737

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Solution

The third proportional to 34,264 and 74,737 is: 163,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,264 : 74,737 = 74,737 : x
  2. Step 2: Convert to fraction form
    34,264/74,737 = 74,737/x
  3. Step 3: Cross multiply
    34,264x = 74,737 × 74,737
  4. Step 4: Simplify right side
    34,264x = 5,585,619,169
  5. Step 5: Solve for x
    x = 5,585,619,169/34,264
  6. Step 6: Final answer
    x = 163,017.14

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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.