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Finding the Third Proportional to 76,354 and 112,251

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Solution

The third proportional to 76,354 and 112,251 is: 165,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354 : 112,251 = 112,251 : x
  2. Step 2: Convert to fraction form
    76,354/112,251 = 112,251/x
  3. Step 3: Cross multiply
    76,354x = 112,251 × 112,251
  4. Step 4: Simplify right side
    76,354x = 12,600,287,001
  5. Step 5: Solve for x
    x = 12,600,287,001/76,354
  6. Step 6: Final answer
    x = 165,024.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.