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Finding the Third Proportional to 67,044 and 139,545

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Solution

The third proportional to 67,044 and 139,545 is: 290,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,044 : 139,545 = 139,545 : x
  2. Step 2: Convert to fraction form
    67,044/139,545 = 139,545/x
  3. Step 3: Cross multiply
    67,044x = 139,545 × 139,545
  4. Step 4: Simplify right side
    67,044x = 19,472,807,025
  5. Step 5: Solve for x
    x = 19,472,807,025/67,044
  6. Step 6: Final answer
    x = 290,448.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.