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Finding the Third Proportional to 73,607 and 158,878

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Solution

The third proportional to 73,607 and 158,878 is: 342,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,607 : 158,878 = 158,878 : x
  2. Step 2: Convert to fraction form
    73,607/158,878 = 158,878/x
  3. Step 3: Cross multiply
    73,607x = 158,878 × 158,878
  4. Step 4: Simplify right side
    73,607x = 25,242,218,884
  5. Step 5: Solve for x
    x = 25,242,218,884/73,607
  6. Step 6: Final answer
    x = 342,932.31

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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.