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Finding the Third Proportional to 32,102 and 77,679.50

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Solution

The third proportional to 32,102 and 77,679.50 is: 187,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102 : 77,679.50 = 77,679.50 : x
  2. Step 2: Convert to fraction form
    32,102/77,679.50 = 77,679.50/x
  3. Step 3: Cross multiply
    32,102x = 77,679.50 × 77,679.50
  4. Step 4: Simplify right side
    32,102x = 6,034,104,720.25
  5. Step 5: Solve for x
    x = 6,034,104,720.25/32,102
  6. Step 6: Final answer
    x = 187,966.63

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.