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Finding the Third Proportional to 65,788 and 144,697

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Solution

The third proportional to 65,788 and 144,697 is: 318,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,788 : 144,697 = 144,697 : x
  2. Step 2: Convert to fraction form
    65,788/144,697 = 144,697/x
  3. Step 3: Cross multiply
    65,788x = 144,697 × 144,697
  4. Step 4: Simplify right side
    65,788x = 20,937,221,809
  5. Step 5: Solve for x
    x = 20,937,221,809/65,788
  6. Step 6: Final answer
    x = 318,252.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.