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Finding the Third Proportional to 112,041 and 242,919

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Solution

The third proportional to 112,041 and 242,919 is: 526,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,041 : 242,919 = 242,919 : x
  2. Step 2: Convert to fraction form
    112,041/242,919 = 242,919/x
  3. Step 3: Cross multiply
    112,041x = 242,919 × 242,919
  4. Step 4: Simplify right side
    112,041x = 59,009,640,561
  5. Step 5: Solve for x
    x = 59,009,640,561/112,041
  6. Step 6: Final answer
    x = 526,678.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.