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Finding the Third Proportional to 99,935 and 153,762

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Solution

The third proportional to 99,935 and 153,762 is: 236,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,935 : 153,762 = 153,762 : x
  2. Step 2: Convert to fraction form
    99,935/153,762 = 153,762/x
  3. Step 3: Cross multiply
    99,935x = 153,762 × 153,762
  4. Step 4: Simplify right side
    99,935x = 23,642,752,644
  5. Step 5: Solve for x
    x = 23,642,752,644/99,935
  6. Step 6: Final answer
    x = 236,581.30

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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.