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Finding the Third Proportional to 92,604 and 140,197

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Solution

The third proportional to 92,604 and 140,197 is: 212,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,604 : 140,197 = 140,197 : x
  2. Step 2: Convert to fraction form
    92,604/140,197 = 140,197/x
  3. Step 3: Cross multiply
    92,604x = 140,197 × 140,197
  4. Step 4: Simplify right side
    92,604x = 19,655,198,809
  5. Step 5: Solve for x
    x = 19,655,198,809/92,604
  6. Step 6: Final answer
    x = 212,250.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.