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Finding the Third Proportional to 70,382 and 106,180.75

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Solution

The third proportional to 70,382 and 106,180.75 is: 160,188.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382 : 106,180.75 = 106,180.75 : x
  2. Step 2: Convert to fraction form
    70,382/106,180.75 = 106,180.75/x
  3. Step 3: Cross multiply
    70,382x = 106,180.75 × 106,180.75
  4. Step 4: Simplify right side
    70,382x = 11,274,351,670.56
  5. Step 5: Solve for x
    x = 11,274,351,670.56/70,382
  6. Step 6: Final answer
    x = 160,188.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.