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Finding the Third Proportional to 117,596 and 253,624

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Solution

The third proportional to 117,596 and 253,624 is: 547,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,596 : 253,624 = 253,624 : x
  2. Step 2: Convert to fraction form
    117,596/253,624 = 253,624/x
  3. Step 3: Cross multiply
    117,596x = 253,624 × 253,624
  4. Step 4: Simplify right side
    117,596x = 64,325,133,376
  5. Step 5: Solve for x
    x = 64,325,133,376/117,596
  6. Step 6: Final answer
    x = 547,001.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.