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Finding the Third Proportional to 98,740 and 152,934

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Solution

The third proportional to 98,740 and 152,934 is: 236,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,740 : 152,934 = 152,934 : x
  2. Step 2: Convert to fraction form
    98,740/152,934 = 152,934/x
  3. Step 3: Cross multiply
    98,740x = 152,934 × 152,934
  4. Step 4: Simplify right side
    98,740x = 23,388,808,356
  5. Step 5: Solve for x
    x = 23,388,808,356/98,740
  6. Step 6: Final answer
    x = 236,872.68

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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.