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Finding the Third Proportional to 89,220 and 131,364

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Solution

The third proportional to 89,220 and 131,364 is: 193,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,220 : 131,364 = 131,364 : x
  2. Step 2: Convert to fraction form
    89,220/131,364 = 131,364/x
  3. Step 3: Cross multiply
    89,220x = 131,364 × 131,364
  4. Step 4: Simplify right side
    89,220x = 17,256,500,496
  5. Step 5: Solve for x
    x = 17,256,500,496/89,220
  6. Step 6: Final answer
    x = 193,415.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.