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Finding the Third Proportional to 68,076 and 99,924.75

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Solution

The third proportional to 68,076 and 99,924.75 is: 146,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,076 : 99,924.75 = 99,924.75 : x
  2. Step 2: Convert to fraction form
    68,076/99,924.75 = 99,924.75/x
  3. Step 3: Cross multiply
    68,076x = 99,924.75 × 99,924.75
  4. Step 4: Simplify right side
    68,076x = 9,984,955,662.56
  5. Step 5: Solve for x
    x = 9,984,955,662.56/68,076
  6. Step 6: Final answer
    x = 146,673.65

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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.