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Finding the Third Proportional to 67,461 and 148,044

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Solution

The third proportional to 67,461 and 148,044 is: 324,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,461 : 148,044 = 148,044 : x
  2. Step 2: Convert to fraction form
    67,461/148,044 = 148,044/x
  3. Step 3: Cross multiply
    67,461x = 148,044 × 148,044
  4. Step 4: Simplify right side
    67,461x = 21,917,025,936
  5. Step 5: Solve for x
    x = 21,917,025,936/67,461
  6. Step 6: Final answer
    x = 324,884.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.