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Finding the Third Proportional to 65,788 and 97,666

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Solution

The third proportional to 65,788 and 97,666 is: 144,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,788 : 97,666 = 97,666 : x
  2. Step 2: Convert to fraction form
    65,788/97,666 = 97,666/x
  3. Step 3: Cross multiply
    65,788x = 97,666 × 97,666
  4. Step 4: Simplify right side
    65,788x = 9,538,647,556
  5. Step 5: Solve for x
    x = 9,538,647,556/65,788
  6. Step 6: Final answer
    x = 144,990.69

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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.