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Finding the Third Proportional to 65,793.94 and 93,770.16

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Solution

The third proportional to 65,793.94 and 93,770.16 is: 133,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,793.94 : 93,770.16 = 93,770.16 : x
  2. Step 2: Convert to fraction form
    65,793.94/93,770.16 = 93,770.16/x
  3. Step 3: Cross multiply
    65,793.94x = 93,770.16 × 93,770.16
  4. Step 4: Simplify right side
    65,793.94x = 8,792,842,203.15
  5. Step 5: Solve for x
    x = 8,792,842,203.15/65,793.94
  6. Step 6: Final answer
    x = 133,642.13

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Why These Related Problems?

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