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Finding the Third Proportional to 65,827.69 and 94,063.78

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Solution

The third proportional to 65,827.69 and 94,063.78 is: 134,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,827.69 : 94,063.78 = 94,063.78 : x
  2. Step 2: Convert to fraction form
    65,827.69/94,063.78 = 94,063.78/x
  3. Step 3: Cross multiply
    65,827.69x = 94,063.78 × 94,063.78
  4. Step 4: Simplify right side
    65,827.69x = 8,847,994,943.05
  5. Step 5: Solve for x
    x = 8,847,994,943.05/65,827.69
  6. Step 6: Final answer
    x = 134,411.45

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.