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Finding the Third Proportional to 67,041 and 97,773.75

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Solution

The third proportional to 67,041 and 97,773.75 is: 142,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,041 : 97,773.75 = 97,773.75 : x
  2. Step 2: Convert to fraction form
    67,041/97,773.75 = 97,773.75/x
  3. Step 3: Cross multiply
    67,041x = 97,773.75 × 97,773.75
  4. Step 4: Simplify right side
    67,041x = 9,559,706,189.06
  5. Step 5: Solve for x
    x = 9,559,706,189.06/67,041
  6. Step 6: Final answer
    x = 142,594.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.