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Finding the Third Proportional to 68,434.50 and 101,652.75

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Solution

The third proportional to 68,434.50 and 101,652.75 is: 150,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,434.50 : 101,652.75 = 101,652.75 : x
  2. Step 2: Convert to fraction form
    68,434.50/101,652.75 = 101,652.75/x
  3. Step 3: Cross multiply
    68,434.50x = 101,652.75 × 101,652.75
  4. Step 4: Simplify right side
    68,434.50x = 10,333,281,582.56
  5. Step 5: Solve for x
    x = 10,333,281,582.56/68,434.50
  6. Step 6: Final answer
    x = 150,995.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.