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Finding the Third Proportional to 73,946 and 158,948

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Solution

The third proportional to 73,946 and 158,948 is: 341,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,946 : 158,948 = 158,948 : x
  2. Step 2: Convert to fraction form
    73,946/158,948 = 158,948/x
  3. Step 3: Cross multiply
    73,946x = 158,948 × 158,948
  4. Step 4: Simplify right side
    73,946x = 25,264,466,704
  5. Step 5: Solve for x
    x = 25,264,466,704/73,946
  6. Step 6: Final answer
    x = 341,661.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.