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Finding the Third Proportional to 74,718 and 114,021

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Solution

The third proportional to 74,718 and 114,021 is: 173,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,718 : 114,021 = 114,021 : x
  2. Step 2: Convert to fraction form
    74,718/114,021 = 114,021/x
  3. Step 3: Cross multiply
    74,718x = 114,021 × 114,021
  4. Step 4: Simplify right side
    74,718x = 13,000,788,441
  5. Step 5: Solve for x
    x = 13,000,788,441/74,718
  6. Step 6: Final answer
    x = 173,998.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.