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Finding the Third Proportional to 65,664 and 137,808

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Solution

The third proportional to 65,664 and 137,808 is: 289,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,664 : 137,808 = 137,808 : x
  2. Step 2: Convert to fraction form
    65,664/137,808 = 137,808/x
  3. Step 3: Cross multiply
    65,664x = 137,808 × 137,808
  4. Step 4: Simplify right side
    65,664x = 18,991,044,864
  5. Step 5: Solve for x
    x = 18,991,044,864/65,664
  6. Step 6: Final answer
    x = 289,215.47

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.