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Finding the Third Proportional to 66,820.50 and 144,085.50

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Solution

The third proportional to 66,820.50 and 144,085.50 is: 310,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,820.50 : 144,085.50 = 144,085.50 : x
  2. Step 2: Convert to fraction form
    66,820.50/144,085.50 = 144,085.50/x
  3. Step 3: Cross multiply
    66,820.50x = 144,085.50 × 144,085.50
  4. Step 4: Simplify right side
    66,820.50x = 20,760,631,310.25
  5. Step 5: Solve for x
    x = 20,760,631,310.25/66,820.50
  6. Step 6: Final answer
    x = 310,692.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.