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Finding the Third Proportional to 72,714 and 158,928

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Solution

The third proportional to 72,714 and 158,928 is: 347,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,714 : 158,928 = 158,928 : x
  2. Step 2: Convert to fraction form
    72,714/158,928 = 158,928/x
  3. Step 3: Cross multiply
    72,714x = 158,928 × 158,928
  4. Step 4: Simplify right side
    72,714x = 25,258,109,184
  5. Step 5: Solve for x
    x = 25,258,109,184/72,714
  6. Step 6: Final answer
    x = 347,362.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.