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Finding the Third Proportional to 67,072 and 99,033

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Solution

The third proportional to 67,072 and 99,033 is: 146,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,072 : 99,033 = 99,033 : x
  2. Step 2: Convert to fraction form
    67,072/99,033 = 99,033/x
  3. Step 3: Cross multiply
    67,072x = 99,033 × 99,033
  4. Step 4: Simplify right side
    67,072x = 9,807,535,089
  5. Step 5: Solve for x
    x = 9,807,535,089/67,072
  6. Step 6: Final answer
    x = 146,223.98

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.