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Finding the Third Proportional to 50,275.69 and 104,031.28

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Solution

The third proportional to 50,275.69 and 104,031.28 is: 215,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,275.69 : 104,031.28 = 104,031.28 : x
  2. Step 2: Convert to fraction form
    50,275.69/104,031.28 = 104,031.28/x
  3. Step 3: Cross multiply
    50,275.69x = 104,031.28 × 104,031.28
  4. Step 4: Simplify right side
    50,275.69x = 10,822,507,478.52
  5. Step 5: Solve for x
    x = 10,822,507,478.52/50,275.69
  6. Step 6: Final answer
    x = 215,263.24

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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.