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Finding the Third Proportional to 109,227 and 147,572

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Solution

The third proportional to 109,227 and 147,572 is: 199,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,227 : 147,572 = 147,572 : x
  2. Step 2: Convert to fraction form
    109,227/147,572 = 147,572/x
  3. Step 3: Cross multiply
    109,227x = 147,572 × 147,572
  4. Step 4: Simplify right side
    109,227x = 21,777,495,184
  5. Step 5: Solve for x
    x = 21,777,495,184/109,227
  6. Step 6: Final answer
    x = 199,378.31

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.