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Finding the Third Proportional to 70,169 and 109,948

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Solution

The third proportional to 70,169 and 109,948 is: 172,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,169 : 109,948 = 109,948 : x
  2. Step 2: Convert to fraction form
    70,169/109,948 = 109,948/x
  3. Step 3: Cross multiply
    70,169x = 109,948 × 109,948
  4. Step 4: Simplify right side
    70,169x = 12,088,562,704
  5. Step 5: Solve for x
    x = 12,088,562,704/70,169
  6. Step 6: Final answer
    x = 172,277.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.