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Finding the Third Proportional to 32,161.50 and 75,159

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Solution

The third proportional to 32,161.50 and 75,159 is: 175,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,161.50 : 75,159 = 75,159 : x
  2. Step 2: Convert to fraction form
    32,161.50/75,159 = 75,159/x
  3. Step 3: Cross multiply
    32,161.50x = 75,159 × 75,159
  4. Step 4: Simplify right side
    32,161.50x = 5,648,875,281
  5. Step 5: Solve for x
    x = 5,648,875,281/32,161.50
  6. Step 6: Final answer
    x = 175,640.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.