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Finding the Third Proportional to 82,017 and 133,924.50

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Solution

The third proportional to 82,017 and 133,924.50 is: 218,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017 : 133,924.50 = 133,924.50 : x
  2. Step 2: Convert to fraction form
    82,017/133,924.50 = 133,924.50/x
  3. Step 3: Cross multiply
    82,017x = 133,924.50 × 133,924.50
  4. Step 4: Simplify right side
    82,017x = 17,935,771,700.25
  5. Step 5: Solve for x
    x = 17,935,771,700.25/82,017
  6. Step 6: Final answer
    x = 218,683.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.