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Finding the Third Proportional to 91,412 and 141,261

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Solution

The third proportional to 91,412 and 141,261 is: 218,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,412 : 141,261 = 141,261 : x
  2. Step 2: Convert to fraction form
    91,412/141,261 = 141,261/x
  3. Step 3: Cross multiply
    91,412x = 141,261 × 141,261
  4. Step 4: Simplify right side
    91,412x = 19,954,670,121
  5. Step 5: Solve for x
    x = 19,954,670,121/91,412
  6. Step 6: Final answer
    x = 218,293.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.