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Finding the Third Proportional to 67,582.50 and 97,351

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Solution

The third proportional to 67,582.50 and 97,351 is: 140,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,582.50 : 97,351 = 97,351 : x
  2. Step 2: Convert to fraction form
    67,582.50/97,351 = 97,351/x
  3. Step 3: Cross multiply
    67,582.50x = 97,351 × 97,351
  4. Step 4: Simplify right side
    67,582.50x = 9,477,217,201
  5. Step 5: Solve for x
    x = 9,477,217,201/67,582.50
  6. Step 6: Final answer
    x = 140,231.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.