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Finding the Third Proportional to 133,549.50 and 272,046

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Solution

The third proportional to 133,549.50 and 272,046 is: 554,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,549.50 : 272,046 = 272,046 : x
  2. Step 2: Convert to fraction form
    133,549.50/272,046 = 272,046/x
  3. Step 3: Cross multiply
    133,549.50x = 272,046 × 272,046
  4. Step 4: Simplify right side
    133,549.50x = 74,009,026,116
  5. Step 5: Solve for x
    x = 74,009,026,116/133,549.50
  6. Step 6: Final answer
    x = 554,169.25

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