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Finding the Third Proportional to 131,393.25 and 272,119.50

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Solution

The third proportional to 131,393.25 and 272,119.50 is: 563,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,393.25 : 272,119.50 = 272,119.50 : x
  2. Step 2: Convert to fraction form
    131,393.25/272,119.50 = 272,119.50/x
  3. Step 3: Cross multiply
    131,393.25x = 272,119.50 × 272,119.50
  4. Step 4: Simplify right side
    131,393.25x = 74,049,022,280.25
  5. Step 5: Solve for x
    x = 74,049,022,280.25/131,393.25
  6. Step 6: Final answer
    x = 563,567.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.