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Finding the Third Proportional to 33,554 and 72,572

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Solution

The third proportional to 33,554 and 72,572 is: 156,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,554 : 72,572 = 72,572 : x
  2. Step 2: Convert to fraction form
    33,554/72,572 = 72,572/x
  3. Step 3: Cross multiply
    33,554x = 72,572 × 72,572
  4. Step 4: Simplify right side
    33,554x = 5,266,695,184
  5. Step 5: Solve for x
    x = 5,266,695,184/33,554
  6. Step 6: Final answer
    x = 156,961.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.