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Finding the Third Proportional to 127,536 and 279,313.50

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Solution

The third proportional to 127,536 and 279,313.50 is: 611,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,536 : 279,313.50 = 279,313.50 : x
  2. Step 2: Convert to fraction form
    127,536/279,313.50 = 279,313.50/x
  3. Step 3: Cross multiply
    127,536x = 279,313.50 × 279,313.50
  4. Step 4: Simplify right side
    127,536x = 78,016,031,282.25
  5. Step 5: Solve for x
    x = 78,016,031,282.25/127,536
  6. Step 6: Final answer
    x = 611,717.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.