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Finding the Third Proportional to 66,278.25 and 100,382.63

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Solution

The third proportional to 66,278.25 and 100,382.63 is: 152,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,278.25 : 100,382.63 = 100,382.63 : x
  2. Step 2: Convert to fraction form
    66,278.25/100,382.63 = 100,382.63/x
  3. Step 3: Cross multiply
    66,278.25x = 100,382.63 × 100,382.63
  4. Step 4: Simplify right side
    66,278.25x = 10,076,671,401.89
  5. Step 5: Solve for x
    x = 10,076,671,401.89/66,278.25
  6. Step 6: Final answer
    x = 152,035.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.