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Finding the Third Proportional to 70,152.75 and 106,980.38

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Solution

The third proportional to 70,152.75 and 106,980.38 is: 163,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152.75 : 106,980.38 = 106,980.38 : x
  2. Step 2: Convert to fraction form
    70,152.75/106,980.38 = 106,980.38/x
  3. Step 3: Cross multiply
    70,152.75x = 106,980.38 × 106,980.38
  4. Step 4: Simplify right side
    70,152.75x = 11,444,800,635.14
  5. Step 5: Solve for x
    x = 11,444,800,635.14/70,152.75
  6. Step 6: Final answer
    x = 163,141.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.