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Finding the Third Proportional to 32,089 and 70,378

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Solution

The third proportional to 32,089 and 70,378 is: 154,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089 : 70,378 = 70,378 : x
  2. Step 2: Convert to fraction form
    32,089/70,378 = 70,378/x
  3. Step 3: Cross multiply
    32,089x = 70,378 × 70,378
  4. Step 4: Simplify right side
    32,089x = 4,953,062,884
  5. Step 5: Solve for x
    x = 4,953,062,884/32,089
  6. Step 6: Final answer
    x = 154,353.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.