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Finding the Third Proportional to 32,202 and 75,229

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Solution

The third proportional to 32,202 and 75,229 is: 175,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202 : 75,229 = 75,229 : x
  2. Step 2: Convert to fraction form
    32,202/75,229 = 75,229/x
  3. Step 3: Cross multiply
    32,202x = 75,229 × 75,229
  4. Step 4: Simplify right side
    32,202x = 5,659,402,441
  5. Step 5: Solve for x
    x = 5,659,402,441/32,202
  6. Step 6: Final answer
    x = 175,746.92

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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.