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Finding the Third Proportional to 65,790 and 97,669

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Solution

The third proportional to 65,790 and 97,669 is: 144,995.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,790 : 97,669 = 97,669 : x
  2. Step 2: Convert to fraction form
    65,790/97,669 = 97,669/x
  3. Step 3: Cross multiply
    65,790x = 97,669 × 97,669
  4. Step 4: Simplify right side
    65,790x = 9,539,233,561
  5. Step 5: Solve for x
    x = 9,539,233,561/65,790
  6. Step 6: Final answer
    x = 144,995.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.