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Finding the Third Proportional to 70,864 and 109,719.50

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Solution

The third proportional to 70,864 and 109,719.50 is: 169,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,864 : 109,719.50 = 109,719.50 : x
  2. Step 2: Convert to fraction form
    70,864/109,719.50 = 109,719.50/x
  3. Step 3: Cross multiply
    70,864x = 109,719.50 × 109,719.50
  4. Step 4: Simplify right side
    70,864x = 12,038,368,680.25
  5. Step 5: Solve for x
    x = 12,038,368,680.25/70,864
  6. Step 6: Final answer
    x = 169,879.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.