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Finding the Third Proportional to 112,061 and 242,789

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Solution

The third proportional to 112,061 and 242,789 is: 526,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,061 : 242,789 = 242,789 : x
  2. Step 2: Convert to fraction form
    112,061/242,789 = 242,789/x
  3. Step 3: Cross multiply
    112,061x = 242,789 × 242,789
  4. Step 4: Simplify right side
    112,061x = 58,946,498,521
  5. Step 5: Solve for x
    x = 58,946,498,521/112,061
  6. Step 6: Final answer
    x = 526,021.53

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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.