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Finding the Third Proportional to 70,947.22 and 106,718.77

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Solution

The third proportional to 70,947.22 and 106,718.77 is: 160,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947.22 : 106,718.77 = 106,718.77 : x
  2. Step 2: Convert to fraction form
    70,947.22/106,718.77 = 106,718.77/x
  3. Step 3: Cross multiply
    70,947.22x = 106,718.77 × 106,718.77
  4. Step 4: Simplify right side
    70,947.22x = 11,388,894,936.52
  5. Step 5: Solve for x
    x = 11,388,894,936.52/70,947.22
  6. Step 6: Final answer
    x = 160,526.30

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Why These Related Problems?

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