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Finding the Third Proportional to 74,217 and 151,026

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Solution

The third proportional to 74,217 and 151,026 is: 307,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,217 : 151,026 = 151,026 : x
  2. Step 2: Convert to fraction form
    74,217/151,026 = 151,026/x
  3. Step 3: Cross multiply
    74,217x = 151,026 × 151,026
  4. Step 4: Simplify right side
    74,217x = 22,808,852,676
  5. Step 5: Solve for x
    x = 22,808,852,676/74,217
  6. Step 6: Final answer
    x = 307,326.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.