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Finding the Third Proportional to 72,718 and 152,058

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Solution

The third proportional to 72,718 and 152,058 is: 317,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,718 : 152,058 = 152,058 : x
  2. Step 2: Convert to fraction form
    72,718/152,058 = 152,058/x
  3. Step 3: Cross multiply
    72,718x = 152,058 × 152,058
  4. Step 4: Simplify right side
    72,718x = 23,121,635,364
  5. Step 5: Solve for x
    x = 23,121,635,364/72,718
  6. Step 6: Final answer
    x = 317,963.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.