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Finding the Third Proportional to 64,332 and 131,784

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Solution

The third proportional to 64,332 and 131,784 is: 269,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,332 : 131,784 = 131,784 : x
  2. Step 2: Convert to fraction form
    64,332/131,784 = 131,784/x
  3. Step 3: Cross multiply
    64,332x = 131,784 × 131,784
  4. Step 4: Simplify right side
    64,332x = 17,367,022,656
  5. Step 5: Solve for x
    x = 17,367,022,656/64,332
  6. Step 6: Final answer
    x = 269,959.32

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.