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Finding the Third Proportional to 97,266 and 146,907

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Solution

The third proportional to 97,266 and 146,907 is: 221,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,266 : 146,907 = 146,907 : x
  2. Step 2: Convert to fraction form
    97,266/146,907 = 146,907/x
  3. Step 3: Cross multiply
    97,266x = 146,907 × 146,907
  4. Step 4: Simplify right side
    97,266x = 21,581,666,649
  5. Step 5: Solve for x
    x = 21,581,666,649/97,266
  6. Step 6: Final answer
    x = 221,882.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.