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Finding the Third Proportional to 134,909 and 197,989

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Solution

The third proportional to 134,909 and 197,989 is: 290,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,909 : 197,989 = 197,989 : x
  2. Step 2: Convert to fraction form
    134,909/197,989 = 197,989/x
  3. Step 3: Cross multiply
    134,909x = 197,989 × 197,989
  4. Step 4: Simplify right side
    134,909x = 39,199,644,121
  5. Step 5: Solve for x
    x = 39,199,644,121/134,909
  6. Step 6: Final answer
    x = 290,563.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.