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Finding the Third Proportional to 64,298 and 99,549

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Solution

The third proportional to 64,298 and 99,549 is: 154,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,298 : 99,549 = 99,549 : x
  2. Step 2: Convert to fraction form
    64,298/99,549 = 99,549/x
  3. Step 3: Cross multiply
    64,298x = 99,549 × 99,549
  4. Step 4: Simplify right side
    64,298x = 9,910,003,401
  5. Step 5: Solve for x
    x = 9,910,003,401/64,298
  6. Step 6: Final answer
    x = 154,126.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.