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Finding the Third Proportional to 98,212 and 147,156

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Solution

The third proportional to 98,212 and 147,156 is: 220,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,212 : 147,156 = 147,156 : x
  2. Step 2: Convert to fraction form
    98,212/147,156 = 147,156/x
  3. Step 3: Cross multiply
    98,212x = 147,156 × 147,156
  4. Step 4: Simplify right side
    98,212x = 21,654,888,336
  5. Step 5: Solve for x
    x = 21,654,888,336/98,212
  6. Step 6: Final answer
    x = 220,491.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.