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Finding the Third Proportional to 106,765.59 and 160,847.02

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Solution

The third proportional to 106,765.59 and 160,847.02 is: 242,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,765.59 : 160,847.02 = 160,847.02 : x
  2. Step 2: Convert to fraction form
    106,765.59/160,847.02 = 160,847.02/x
  3. Step 3: Cross multiply
    106,765.59x = 160,847.02 × 160,847.02
  4. Step 4: Simplify right side
    106,765.59x = 25,871,762,435.47
  5. Step 5: Solve for x
    x = 25,871,762,435.47/106,765.59
  6. Step 6: Final answer
    x = 242,323.03

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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.