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Finding the Third Proportional to 131,393 and 272,119

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Solution

The third proportional to 131,393 and 272,119 is: 563,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,393 : 272,119 = 272,119 : x
  2. Step 2: Convert to fraction form
    131,393/272,119 = 272,119/x
  3. Step 3: Cross multiply
    131,393x = 272,119 × 272,119
  4. Step 4: Simplify right side
    131,393x = 74,048,750,161
  5. Step 5: Solve for x
    x = 74,048,750,161/131,393
  6. Step 6: Final answer
    x = 563,566.93

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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.