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Finding the Third Proportional to 67,359 and 101,047

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Solution

The third proportional to 67,359 and 101,047 is: 151,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,359 : 101,047 = 101,047 : x
  2. Step 2: Convert to fraction form
    67,359/101,047 = 101,047/x
  3. Step 3: Cross multiply
    67,359x = 101,047 × 101,047
  4. Step 4: Simplify right side
    67,359x = 10,210,496,209
  5. Step 5: Solve for x
    x = 10,210,496,209/67,359
  6. Step 6: Final answer
    x = 151,583.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.