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Finding the Third Proportional to 77,804 and 113,304

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Solution

The third proportional to 77,804 and 113,304 is: 165,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,804 : 113,304 = 113,304 : x
  2. Step 2: Convert to fraction form
    77,804/113,304 = 113,304/x
  3. Step 3: Cross multiply
    77,804x = 113,304 × 113,304
  4. Step 4: Simplify right side
    77,804x = 12,837,796,416
  5. Step 5: Solve for x
    x = 12,837,796,416/77,804
  6. Step 6: Final answer
    x = 165,001.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.