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Finding the Third Proportional to 73,058 and 157,756

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Solution

The third proportional to 73,058 and 157,756 is: 340,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,058 : 157,756 = 157,756 : x
  2. Step 2: Convert to fraction form
    73,058/157,756 = 157,756/x
  3. Step 3: Cross multiply
    73,058x = 157,756 × 157,756
  4. Step 4: Simplify right side
    73,058x = 24,886,955,536
  5. Step 5: Solve for x
    x = 24,886,955,536/73,058
  6. Step 6: Final answer
    x = 340,646.55

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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.