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Finding the Third Proportional to 97,560 and 150,666

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Solution

The third proportional to 97,560 and 150,666 is: 232,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,560 : 150,666 = 150,666 : x
  2. Step 2: Convert to fraction form
    97,560/150,666 = 150,666/x
  3. Step 3: Cross multiply
    97,560x = 150,666 × 150,666
  4. Step 4: Simplify right side
    97,560x = 22,700,243,556
  5. Step 5: Solve for x
    x = 22,700,243,556/97,560
  6. Step 6: Final answer
    x = 232,679.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.