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Finding the Third Proportional to 67,053 and 139,617

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Solution

The third proportional to 67,053 and 139,617 is: 290,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,053 : 139,617 = 139,617 : x
  2. Step 2: Convert to fraction form
    67,053/139,617 = 139,617/x
  3. Step 3: Cross multiply
    67,053x = 139,617 × 139,617
  4. Step 4: Simplify right side
    67,053x = 19,492,906,689
  5. Step 5: Solve for x
    x = 19,492,906,689/67,053
  6. Step 6: Final answer
    x = 290,708.94

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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.