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Finding the Third Proportional to 85,246 and 133,724

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Solution

The third proportional to 85,246 and 133,724 is: 209,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,246 : 133,724 = 133,724 : x
  2. Step 2: Convert to fraction form
    85,246/133,724 = 133,724/x
  3. Step 3: Cross multiply
    85,246x = 133,724 × 133,724
  4. Step 4: Simplify right side
    85,246x = 17,882,108,176
  5. Step 5: Solve for x
    x = 17,882,108,176/85,246
  6. Step 6: Final answer
    x = 209,770.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.