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Finding the Third Proportional to 34,854 and 76,746

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Solution

The third proportional to 34,854 and 76,746 is: 168,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,854 : 76,746 = 76,746 : x
  2. Step 2: Convert to fraction form
    34,854/76,746 = 76,746/x
  3. Step 3: Cross multiply
    34,854x = 76,746 × 76,746
  4. Step 4: Simplify right side
    34,854x = 5,889,948,516
  5. Step 5: Solve for x
    x = 5,889,948,516/34,854
  6. Step 6: Final answer
    x = 168,989.17

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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.