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Finding the Third Proportional to 99,616 and 152,451

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Solution

The third proportional to 99,616 and 152,451 is: 233,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,616 : 152,451 = 152,451 : x
  2. Step 2: Convert to fraction form
    99,616/152,451 = 152,451/x
  3. Step 3: Cross multiply
    99,616x = 152,451 × 152,451
  4. Step 4: Simplify right side
    99,616x = 23,241,307,401
  5. Step 5: Solve for x
    x = 23,241,307,401/99,616
  6. Step 6: Final answer
    x = 233,308.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.