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Finding the Third Proportional to 70,872 and 105,391.50

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Solution

The third proportional to 70,872 and 105,391.50 is: 156,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872 : 105,391.50 = 105,391.50 : x
  2. Step 2: Convert to fraction form
    70,872/105,391.50 = 105,391.50/x
  3. Step 3: Cross multiply
    70,872x = 105,391.50 × 105,391.50
  4. Step 4: Simplify right side
    70,872x = 11,107,368,272.25
  5. Step 5: Solve for x
    x = 11,107,368,272.25/70,872
  6. Step 6: Final answer
    x = 156,724.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.