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Finding the Third Proportional to 52,301 and 113,026

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Solution

The third proportional to 52,301 and 113,026 is: 244,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,301 : 113,026 = 113,026 : x
  2. Step 2: Convert to fraction form
    52,301/113,026 = 113,026/x
  3. Step 3: Cross multiply
    52,301x = 113,026 × 113,026
  4. Step 4: Simplify right side
    52,301x = 12,774,876,676
  5. Step 5: Solve for x
    x = 12,774,876,676/52,301
  6. Step 6: Final answer
    x = 244,256.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.