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Finding the Third Proportional to 45,395 and 97,026

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Solution

The third proportional to 45,395 and 97,026 is: 207,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,395 : 97,026 = 97,026 : x
  2. Step 2: Convert to fraction form
    45,395/97,026 = 97,026/x
  3. Step 3: Cross multiply
    45,395x = 97,026 × 97,026
  4. Step 4: Simplify right side
    45,395x = 9,414,044,676
  5. Step 5: Solve for x
    x = 9,414,044,676/45,395
  6. Step 6: Final answer
    x = 207,380.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.