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Finding the Third Proportional to 69,532.13 and 161,756.25

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Solution

The third proportional to 69,532.13 and 161,756.25 is: 376,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,532.13 : 161,756.25 = 161,756.25 : x
  2. Step 2: Convert to fraction form
    69,532.13/161,756.25 = 161,756.25/x
  3. Step 3: Cross multiply
    69,532.13x = 161,756.25 × 161,756.25
  4. Step 4: Simplify right side
    69,532.13x = 26,165,084,414.06
  5. Step 5: Solve for x
    x = 26,165,084,414.06/69,532.13
  6. Step 6: Final answer
    x = 376,302.10

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.