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Finding the Third Proportional to 72,764 and 158,484

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Solution

The third proportional to 72,764 and 158,484 is: 345,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,764 : 158,484 = 158,484 : x
  2. Step 2: Convert to fraction form
    72,764/158,484 = 158,484/x
  3. Step 3: Cross multiply
    72,764x = 158,484 × 158,484
  4. Step 4: Simplify right side
    72,764x = 25,117,178,256
  5. Step 5: Solve for x
    x = 25,117,178,256/72,764
  6. Step 6: Final answer
    x = 345,186.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.