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Finding the Third Proportional to 111,726 and 242,212

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Solution

The third proportional to 111,726 and 242,212 is: 525,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,726 : 242,212 = 242,212 : x
  2. Step 2: Convert to fraction form
    111,726/242,212 = 242,212/x
  3. Step 3: Cross multiply
    111,726x = 242,212 × 242,212
  4. Step 4: Simplify right side
    111,726x = 58,666,652,944
  5. Step 5: Solve for x
    x = 58,666,652,944/111,726
  6. Step 6: Final answer
    x = 525,094.01

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Why These Related Problems?

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