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Finding the Third Proportional to 91,654 and 141,914

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Solution

The third proportional to 91,654 and 141,914 is: 219,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,654 : 141,914 = 141,914 : x
  2. Step 2: Convert to fraction form
    91,654/141,914 = 141,914/x
  3. Step 3: Cross multiply
    91,654x = 141,914 × 141,914
  4. Step 4: Simplify right side
    91,654x = 20,139,583,396
  5. Step 5: Solve for x
    x = 20,139,583,396/91,654
  6. Step 6: Final answer
    x = 219,734.91

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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.