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Finding the Third Proportional to 99,020 and 149,003

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Solution

The third proportional to 99,020 and 149,003 is: 224,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,020 : 149,003 = 149,003 : x
  2. Step 2: Convert to fraction form
    99,020/149,003 = 149,003/x
  3. Step 3: Cross multiply
    99,020x = 149,003 × 149,003
  4. Step 4: Simplify right side
    99,020x = 22,201,894,009
  5. Step 5: Solve for x
    x = 22,201,894,009/99,020
  6. Step 6: Final answer
    x = 224,216.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.