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Finding the Third Proportional to 34,324.50 and 75,210

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Solution

The third proportional to 34,324.50 and 75,210 is: 164,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,324.50 : 75,210 = 75,210 : x
  2. Step 2: Convert to fraction form
    34,324.50/75,210 = 75,210/x
  3. Step 3: Cross multiply
    34,324.50x = 75,210 × 75,210
  4. Step 4: Simplify right side
    34,324.50x = 5,656,544,100
  5. Step 5: Solve for x
    x = 5,656,544,100/34,324.50
  6. Step 6: Final answer
    x = 164,796.11

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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.