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Finding the Third Proportional to 98,532 and 152,858

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Solution

The third proportional to 98,532 and 152,858 is: 237,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,532 : 152,858 = 152,858 : x
  2. Step 2: Convert to fraction form
    98,532/152,858 = 152,858/x
  3. Step 3: Cross multiply
    98,532x = 152,858 × 152,858
  4. Step 4: Simplify right side
    98,532x = 23,365,568,164
  5. Step 5: Solve for x
    x = 23,365,568,164/98,532
  6. Step 6: Final answer
    x = 237,136.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.