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Finding the Third Proportional to 91,741.50 and 140,347.75

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Solution

The third proportional to 91,741.50 and 140,347.75 is: 214,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,741.50 : 140,347.75 = 140,347.75 : x
  2. Step 2: Convert to fraction form
    91,741.50/140,347.75 = 140,347.75/x
  3. Step 3: Cross multiply
    91,741.50x = 140,347.75 × 140,347.75
  4. Step 4: Simplify right side
    91,741.50x = 19,697,490,930.06
  5. Step 5: Solve for x
    x = 19,697,490,930.06/91,741.50
  6. Step 6: Final answer
    x = 214,706.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.