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Finding the Third Proportional to 100,226 and 147,058

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Solution

The third proportional to 100,226 and 147,058 is: 215,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,226 : 147,058 = 147,058 : x
  2. Step 2: Convert to fraction form
    100,226/147,058 = 147,058/x
  3. Step 3: Cross multiply
    100,226x = 147,058 × 147,058
  4. Step 4: Simplify right side
    100,226x = 21,626,055,364
  5. Step 5: Solve for x
    x = 21,626,055,364/100,226
  6. Step 6: Final answer
    x = 215,772.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.