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Finding the Third Proportional to 65,797 and 144,712

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Solution

The third proportional to 65,797 and 144,712 is: 318,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,797 : 144,712 = 144,712 : x
  2. Step 2: Convert to fraction form
    65,797/144,712 = 144,712/x
  3. Step 3: Cross multiply
    65,797x = 144,712 × 144,712
  4. Step 4: Simplify right side
    65,797x = 20,941,562,944
  5. Step 5: Solve for x
    x = 20,941,562,944/65,797
  6. Step 6: Final answer
    x = 318,275.35

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Why These Related Problems?

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