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Finding the Third Proportional to 68,058 and 147,060

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Solution

The third proportional to 68,058 and 147,060 is: 317,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,058 : 147,060 = 147,060 : x
  2. Step 2: Convert to fraction form
    68,058/147,060 = 147,060/x
  3. Step 3: Cross multiply
    68,058x = 147,060 × 147,060
  4. Step 4: Simplify right side
    68,058x = 21,626,643,600
  5. Step 5: Solve for x
    x = 21,626,643,600/68,058
  6. Step 6: Final answer
    x = 317,767.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.