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Finding the Third Proportional to 70,956 and 106,730.16

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Solution

The third proportional to 70,956 and 106,730.16 is: 160,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,956 : 106,730.16 = 106,730.16 : x
  2. Step 2: Convert to fraction form
    70,956/106,730.16 = 106,730.16/x
  3. Step 3: Cross multiply
    70,956x = 106,730.16 × 106,730.16
  4. Step 4: Simplify right side
    70,956x = 11,391,326,253.15
  5. Step 5: Solve for x
    x = 11,391,326,253.15/70,956
  6. Step 6: Final answer
    x = 160,540.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.