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Finding the Third Proportional to 75,386 and 158,521

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Solution

The third proportional to 75,386 and 158,521 is: 333,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,386 : 158,521 = 158,521 : x
  2. Step 2: Convert to fraction form
    75,386/158,521 = 158,521/x
  3. Step 3: Cross multiply
    75,386x = 158,521 × 158,521
  4. Step 4: Simplify right side
    75,386x = 25,128,907,441
  5. Step 5: Solve for x
    x = 25,128,907,441/75,386
  6. Step 6: Final answer
    x = 333,336.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.