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Finding the Third Proportional to 113,052 and 242,494

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Solution

The third proportional to 113,052 and 242,494 is: 520,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,052 : 242,494 = 242,494 : x
  2. Step 2: Convert to fraction form
    113,052/242,494 = 242,494/x
  3. Step 3: Cross multiply
    113,052x = 242,494 × 242,494
  4. Step 4: Simplify right side
    113,052x = 58,803,340,036
  5. Step 5: Solve for x
    x = 58,803,340,036/113,052
  6. Step 6: Final answer
    x = 520,144.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.