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Finding the Third Proportional to 119,272.50 and 182,730.94

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Solution

The third proportional to 119,272.50 and 182,730.94 is: 279,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,272.50 : 182,730.94 = 182,730.94 : x
  2. Step 2: Convert to fraction form
    119,272.50/182,730.94 = 182,730.94/x
  3. Step 3: Cross multiply
    119,272.50x = 182,730.94 × 182,730.94
  4. Step 4: Simplify right side
    119,272.50x = 33,390,595,519.63
  5. Step 5: Solve for x
    x = 33,390,595,519.63/119,272.50
  6. Step 6: Final answer
    x = 279,952.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.