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Finding the Third Proportional to 70,026 and 103,941

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Solution

The third proportional to 70,026 and 103,941 is: 154,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,026 : 103,941 = 103,941 : x
  2. Step 2: Convert to fraction form
    70,026/103,941 = 103,941/x
  3. Step 3: Cross multiply
    70,026x = 103,941 × 103,941
  4. Step 4: Simplify right side
    70,026x = 10,803,731,481
  5. Step 5: Solve for x
    x = 10,803,731,481/70,026
  6. Step 6: Final answer
    x = 154,281.72

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.