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Finding the Third Proportional to 99,807 and 145,842.75

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Solution

The third proportional to 99,807 and 145,842.75 is: 213,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,807 : 145,842.75 = 145,842.75 : x
  2. Step 2: Convert to fraction form
    99,807/145,842.75 = 145,842.75/x
  3. Step 3: Cross multiply
    99,807x = 145,842.75 × 145,842.75
  4. Step 4: Simplify right side
    99,807x = 21,270,107,727.56
  5. Step 5: Solve for x
    x = 21,270,107,727.56/99,807
  6. Step 6: Final answer
    x = 213,112.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.