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Finding the Third Proportional to 116,112 and 242,272

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Solution

The third proportional to 116,112 and 242,272 is: 505,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,112 : 242,272 = 242,272 : x
  2. Step 2: Convert to fraction form
    116,112/242,272 = 242,272/x
  3. Step 3: Cross multiply
    116,112x = 242,272 × 242,272
  4. Step 4: Simplify right side
    116,112x = 58,695,721,984
  5. Step 5: Solve for x
    x = 58,695,721,984/116,112
  6. Step 6: Final answer
    x = 505,509.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.