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Finding the Third Proportional to 69,214.50 and 145,719

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Solution

The third proportional to 69,214.50 and 145,719 is: 306,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,214.50 : 145,719 = 145,719 : x
  2. Step 2: Convert to fraction form
    69,214.50/145,719 = 145,719/x
  3. Step 3: Cross multiply
    69,214.50x = 145,719 × 145,719
  4. Step 4: Simplify right side
    69,214.50x = 21,234,026,961
  5. Step 5: Solve for x
    x = 21,234,026,961/69,214.50
  6. Step 6: Final answer
    x = 306,785.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.