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Finding the Third Proportional to 88,274 and 113,342

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Solution

The third proportional to 88,274 and 113,342 is: 145,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,274 : 113,342 = 113,342 : x
  2. Step 2: Convert to fraction form
    88,274/113,342 = 113,342/x
  3. Step 3: Cross multiply
    88,274x = 113,342 × 113,342
  4. Step 4: Simplify right side
    88,274x = 12,846,408,964
  5. Step 5: Solve for x
    x = 12,846,408,964/88,274
  6. Step 6: Final answer
    x = 145,528.80

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.