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Finding the Third Proportional to 66,503.53 and 145,929.94

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Solution

The third proportional to 66,503.53 and 145,929.94 is: 320,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,503.53 : 145,929.94 = 145,929.94 : x
  2. Step 2: Convert to fraction form
    66,503.53/145,929.94 = 145,929.94/x
  3. Step 3: Cross multiply
    66,503.53x = 145,929.94 × 145,929.94
  4. Step 4: Simplify right side
    66,503.53x = 21,295,546,658.75
  5. Step 5: Solve for x
    x = 21,295,546,658.75/66,503.53
  6. Step 6: Final answer
    x = 320,216.78

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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.