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Finding the Third Proportional to 64,738.50 and 144,543

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Solution

The third proportional to 64,738.50 and 144,543 is: 322,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,738.50 : 144,543 = 144,543 : x
  2. Step 2: Convert to fraction form
    64,738.50/144,543 = 144,543/x
  3. Step 3: Cross multiply
    64,738.50x = 144,543 × 144,543
  4. Step 4: Simplify right side
    64,738.50x = 20,892,678,849
  5. Step 5: Solve for x
    x = 20,892,678,849/64,738.50
  6. Step 6: Final answer
    x = 322,724.17

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.