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Finding the Third Proportional to 97,350 and 142,197

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Solution

The third proportional to 97,350 and 142,197 is: 207,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,350 : 142,197 = 142,197 : x
  2. Step 2: Convert to fraction form
    97,350/142,197 = 142,197/x
  3. Step 3: Cross multiply
    97,350x = 142,197 × 142,197
  4. Step 4: Simplify right side
    97,350x = 20,219,986,809
  5. Step 5: Solve for x
    x = 20,219,986,809/97,350
  6. Step 6: Final answer
    x = 207,704.02

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