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Finding the Third Proportional to 69,109.50 and 145,180.50

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Solution

The third proportional to 69,109.50 and 145,180.50 is: 304,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,109.50 : 145,180.50 = 145,180.50 : x
  2. Step 2: Convert to fraction form
    69,109.50/145,180.50 = 145,180.50/x
  3. Step 3: Cross multiply
    69,109.50x = 145,180.50 × 145,180.50
  4. Step 4: Simplify right side
    69,109.50x = 21,077,377,580.25
  5. Step 5: Solve for x
    x = 21,077,377,580.25/69,109.50
  6. Step 6: Final answer
    x = 304,985.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.