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Finding the Third Proportional to 133,054 and 272,322

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Solution

The third proportional to 133,054 and 272,322 is: 557,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,054 : 272,322 = 272,322 : x
  2. Step 2: Convert to fraction form
    133,054/272,322 = 272,322/x
  3. Step 3: Cross multiply
    133,054x = 272,322 × 272,322
  4. Step 4: Simplify right side
    133,054x = 74,159,271,684
  5. Step 5: Solve for x
    x = 74,159,271,684/133,054
  6. Step 6: Final answer
    x = 557,362.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.