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Finding the Third Proportional to 68,989.88 and 101,213.81

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Solution

The third proportional to 68,989.88 and 101,213.81 is: 148,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,989.88 : 101,213.81 = 101,213.81 : x
  2. Step 2: Convert to fraction form
    68,989.88/101,213.81 = 101,213.81/x
  3. Step 3: Cross multiply
    68,989.88x = 101,213.81 × 101,213.81
  4. Step 4: Simplify right side
    68,989.88x = 10,244,235,840.79
  5. Step 5: Solve for x
    x = 10,244,235,840.79/68,989.88
  6. Step 6: Final answer
    x = 148,488.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.