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Finding the Third Proportional to 91,754 and 141,813

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Solution

The third proportional to 91,754 and 141,813 is: 219,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,754 : 141,813 = 141,813 : x
  2. Step 2: Convert to fraction form
    91,754/141,813 = 141,813/x
  3. Step 3: Cross multiply
    91,754x = 141,813 × 141,813
  4. Step 4: Simplify right side
    91,754x = 20,110,926,969
  5. Step 5: Solve for x
    x = 20,110,926,969/91,754
  6. Step 6: Final answer
    x = 219,183.11

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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.