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Finding the Third Proportional to 66,122.25 and 144,920.50

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Solution

The third proportional to 66,122.25 and 144,920.50 is: 317,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,122.25 : 144,920.50 = 144,920.50 : x
  2. Step 2: Convert to fraction form
    66,122.25/144,920.50 = 144,920.50/x
  3. Step 3: Cross multiply
    66,122.25x = 144,920.50 × 144,920.50
  4. Step 4: Simplify right side
    66,122.25x = 21,001,951,320.25
  5. Step 5: Solve for x
    x = 21,001,951,320.25/66,122.25
  6. Step 6: Final answer
    x = 317,623.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.