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Finding the Third Proportional to 40,262 and 85,724

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Solution

The third proportional to 40,262 and 85,724 is: 182,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,262 : 85,724 = 85,724 : x
  2. Step 2: Convert to fraction form
    40,262/85,724 = 85,724/x
  3. Step 3: Cross multiply
    40,262x = 85,724 × 85,724
  4. Step 4: Simplify right side
    40,262x = 7,348,604,176
  5. Step 5: Solve for x
    x = 7,348,604,176/40,262
  6. Step 6: Final answer
    x = 182,519.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.