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Finding the Third Proportional to 73,583 and 158,943

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Solution

The third proportional to 73,583 and 158,943 is: 343,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,583 : 158,943 = 158,943 : x
  2. Step 2: Convert to fraction form
    73,583/158,943 = 158,943/x
  3. Step 3: Cross multiply
    73,583x = 158,943 × 158,943
  4. Step 4: Simplify right side
    73,583x = 25,262,877,249
  5. Step 5: Solve for x
    x = 25,262,877,249/73,583
  6. Step 6: Final answer
    x = 343,324.92

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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.