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Finding the Third Proportional to 112,091 and 242,498

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Solution

The third proportional to 112,091 and 242,498 is: 524,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,091 : 242,498 = 242,498 : x
  2. Step 2: Convert to fraction form
    112,091/242,498 = 242,498/x
  3. Step 3: Cross multiply
    112,091x = 242,498 × 242,498
  4. Step 4: Simplify right side
    112,091x = 58,805,280,004
  5. Step 5: Solve for x
    x = 58,805,280,004/112,091
  6. Step 6: Final answer
    x = 524,620.89

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