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Finding the Third Proportional to 35,214 and 76,746

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Solution

The third proportional to 35,214 and 76,746 is: 167,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214 : 76,746 = 76,746 : x
  2. Step 2: Convert to fraction form
    35,214/76,746 = 76,746/x
  3. Step 3: Cross multiply
    35,214x = 76,746 × 76,746
  4. Step 4: Simplify right side
    35,214x = 5,889,948,516
  5. Step 5: Solve for x
    x = 5,889,948,516/35,214
  6. Step 6: Final answer
    x = 167,261.56

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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.