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Finding the Third Proportional to 65,068 and 135,784

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Solution

The third proportional to 65,068 and 135,784 is: 283,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,068 : 135,784 = 135,784 : x
  2. Step 2: Convert to fraction form
    65,068/135,784 = 135,784/x
  3. Step 3: Cross multiply
    65,068x = 135,784 × 135,784
  4. Step 4: Simplify right side
    65,068x = 18,437,294,656
  5. Step 5: Solve for x
    x = 18,437,294,656/65,068
  6. Step 6: Final answer
    x = 283,354.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.