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Finding the Third Proportional to 113,036.77 and 155,711.74

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Solution

The third proportional to 113,036.77 and 155,711.74 is: 214,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,036.77 : 155,711.74 = 155,711.74 : x
  2. Step 2: Convert to fraction form
    113,036.77/155,711.74 = 155,711.74/x
  3. Step 3: Cross multiply
    113,036.77x = 155,711.74 × 155,711.74
  4. Step 4: Simplify right side
    113,036.77x = 24,246,146,655.07
  5. Step 5: Solve for x
    x = 24,246,146,655.07/113,036.77
  6. Step 6: Final answer
    x = 214,497.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.