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Finding the Third Proportional to 66,684 and 93,784

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Solution

The third proportional to 66,684 and 93,784 is: 131,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,684 : 93,784 = 93,784 : x
  2. Step 2: Convert to fraction form
    66,684/93,784 = 93,784/x
  3. Step 3: Cross multiply
    66,684x = 93,784 × 93,784
  4. Step 4: Simplify right side
    66,684x = 8,795,438,656
  5. Step 5: Solve for x
    x = 8,795,438,656/66,684
  6. Step 6: Final answer
    x = 131,897.29

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.