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Finding the Third Proportional to 76,074 and 111,363

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Solution

The third proportional to 76,074 and 111,363 is: 163,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,074 : 111,363 = 111,363 : x
  2. Step 2: Convert to fraction form
    76,074/111,363 = 111,363/x
  3. Step 3: Cross multiply
    76,074x = 111,363 × 111,363
  4. Step 4: Simplify right side
    76,074x = 12,401,717,769
  5. Step 5: Solve for x
    x = 12,401,717,769/76,074
  6. Step 6: Final answer
    x = 163,021.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.