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Finding the Third Proportional to 68,052 and 96,784

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Solution

The third proportional to 68,052 and 96,784 is: 137,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,052 : 96,784 = 96,784 : x
  2. Step 2: Convert to fraction form
    68,052/96,784 = 96,784/x
  3. Step 3: Cross multiply
    68,052x = 96,784 × 96,784
  4. Step 4: Simplify right side
    68,052x = 9,367,142,656
  5. Step 5: Solve for x
    x = 9,367,142,656/68,052
  6. Step 6: Final answer
    x = 137,646.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.