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Finding the Third Proportional to 75,588 and 158,484

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Solution

The third proportional to 75,588 and 158,484 is: 332,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,588 : 158,484 = 158,484 : x
  2. Step 2: Convert to fraction form
    75,588/158,484 = 158,484/x
  3. Step 3: Cross multiply
    75,588x = 158,484 × 158,484
  4. Step 4: Simplify right side
    75,588x = 25,117,178,256
  5. Step 5: Solve for x
    x = 25,117,178,256/75,588
  6. Step 6: Final answer
    x = 332,290.55

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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.