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Finding the Third Proportional to 65,768.63 and 93,727.13

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Solution

The third proportional to 65,768.63 and 93,727.13 is: 133,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,768.63 : 93,727.13 = 93,727.13 : x
  2. Step 2: Convert to fraction form
    65,768.63/93,727.13 = 93,727.13/x
  3. Step 3: Cross multiply
    65,768.63x = 93,727.13 × 93,727.13
  4. Step 4: Simplify right side
    65,768.63x = 8,784,773,960.77
  5. Step 5: Solve for x
    x = 8,784,773,960.77/65,768.63
  6. Step 6: Final answer
    x = 133,570.89

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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.