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Finding the Third Proportional to 72,642 and 108,958

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Solution

The third proportional to 72,642 and 108,958 is: 163,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,642 : 108,958 = 108,958 : x
  2. Step 2: Convert to fraction form
    72,642/108,958 = 108,958/x
  3. Step 3: Cross multiply
    72,642x = 108,958 × 108,958
  4. Step 4: Simplify right side
    72,642x = 11,871,845,764
  5. Step 5: Solve for x
    x = 11,871,845,764/72,642
  6. Step 6: Final answer
    x = 163,429.50

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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.