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Finding the Third Proportional to 67,413 and 101,955

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Solution

The third proportional to 67,413 and 101,955 is: 154,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,413 : 101,955 = 101,955 : x
  2. Step 2: Convert to fraction form
    67,413/101,955 = 101,955/x
  3. Step 3: Cross multiply
    67,413x = 101,955 × 101,955
  4. Step 4: Simplify right side
    67,413x = 10,394,822,025
  5. Step 5: Solve for x
    x = 10,394,822,025/67,413
  6. Step 6: Final answer
    x = 154,196.10

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