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Finding the Third Proportional to 133,550 and 272,047

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Solution

The third proportional to 133,550 and 272,047 is: 554,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,550 : 272,047 = 272,047 : x
  2. Step 2: Convert to fraction form
    133,550/272,047 = 272,047/x
  3. Step 3: Cross multiply
    133,550x = 272,047 × 272,047
  4. Step 4: Simplify right side
    133,550x = 74,009,570,209
  5. Step 5: Solve for x
    x = 74,009,570,209/133,550
  6. Step 6: Final answer
    x = 554,171.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.