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Finding the Third Proportional to 133,014.02 and 272,243.06

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Solution

The third proportional to 133,014.02 and 272,243.06 is: 557,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,014.02 : 272,243.06 = 272,243.06 : x
  2. Step 2: Convert to fraction form
    133,014.02/272,243.06 = 272,243.06/x
  3. Step 3: Cross multiply
    133,014.02x = 272,243.06 × 272,243.06
  4. Step 4: Simplify right side
    133,014.02x = 74,116,281,889.03
  5. Step 5: Solve for x
    x = 74,116,281,889.03/133,014.02
  6. Step 6: Final answer
    x = 557,206.53

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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.