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Finding the Third Proportional to 102,642 and 153,549

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Solution

The third proportional to 102,642 and 153,549 is: 229,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,642 : 153,549 = 153,549 : x
  2. Step 2: Convert to fraction form
    102,642/153,549 = 153,549/x
  3. Step 3: Cross multiply
    102,642x = 153,549 × 153,549
  4. Step 4: Simplify right side
    102,642x = 23,577,295,401
  5. Step 5: Solve for x
    x = 23,577,295,401/102,642
  6. Step 6: Final answer
    x = 229,704.17

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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.