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Finding the Third Proportional to 99,632 and 137,224

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Solution

The third proportional to 99,632 and 137,224 is: 188,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,632 : 137,224 = 137,224 : x
  2. Step 2: Convert to fraction form
    99,632/137,224 = 137,224/x
  3. Step 3: Cross multiply
    99,632x = 137,224 × 137,224
  4. Step 4: Simplify right side
    99,632x = 18,830,426,176
  5. Step 5: Solve for x
    x = 18,830,426,176/99,632
  6. Step 6: Final answer
    x = 188,999.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.