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Finding the Third Proportional to 98,156 and 152,270

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Solution

The third proportional to 98,156 and 152,270 is: 236,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,156 : 152,270 = 152,270 : x
  2. Step 2: Convert to fraction form
    98,156/152,270 = 152,270/x
  3. Step 3: Cross multiply
    98,156x = 152,270 × 152,270
  4. Step 4: Simplify right side
    98,156x = 23,186,152,900
  5. Step 5: Solve for x
    x = 23,186,152,900/98,156
  6. Step 6: Final answer
    x = 236,217.38

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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.