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Finding the Third Proportional to 99,212 and 152,355

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Solution

The third proportional to 99,212 and 152,355 is: 233,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,212 : 152,355 = 152,355 : x
  2. Step 2: Convert to fraction form
    99,212/152,355 = 152,355/x
  3. Step 3: Cross multiply
    99,212x = 152,355 × 152,355
  4. Step 4: Simplify right side
    99,212x = 23,212,046,025
  5. Step 5: Solve for x
    x = 23,212,046,025/99,212
  6. Step 6: Final answer
    x = 233,964.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.