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Finding the Third Proportional to 64,287 and 99,933.75

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Solution

The third proportional to 64,287 and 99,933.75 is: 155,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,287 : 99,933.75 = 99,933.75 : x
  2. Step 2: Convert to fraction form
    64,287/99,933.75 = 99,933.75/x
  3. Step 3: Cross multiply
    64,287x = 99,933.75 × 99,933.75
  4. Step 4: Simplify right side
    64,287x = 9,986,754,389.06
  5. Step 5: Solve for x
    x = 9,986,754,389.06/64,287
  6. Step 6: Final answer
    x = 155,346.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.