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Finding the Third Proportional to 73,547 and 158,755

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Solution

The third proportional to 73,547 and 158,755 is: 342,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,547 : 158,755 = 158,755 : x
  2. Step 2: Convert to fraction form
    73,547/158,755 = 158,755/x
  3. Step 3: Cross multiply
    73,547x = 158,755 × 158,755
  4. Step 4: Simplify right side
    73,547x = 25,203,150,025
  5. Step 5: Solve for x
    x = 25,203,150,025/73,547
  6. Step 6: Final answer
    x = 342,680.87

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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.