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Finding the Third Proportional to 69,352 and 105,330

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Solution

The third proportional to 69,352 and 105,330 is: 159,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,352 : 105,330 = 105,330 : x
  2. Step 2: Convert to fraction form
    69,352/105,330 = 105,330/x
  3. Step 3: Cross multiply
    69,352x = 105,330 × 105,330
  4. Step 4: Simplify right side
    69,352x = 11,094,408,900
  5. Step 5: Solve for x
    x = 11,094,408,900/69,352
  6. Step 6: Final answer
    x = 159,972.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.