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Finding the Third Proportional to 127,822 and 193,516

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Solution

The third proportional to 127,822 and 193,516 is: 292,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,822 : 193,516 = 193,516 : x
  2. Step 2: Convert to fraction form
    127,822/193,516 = 193,516/x
  3. Step 3: Cross multiply
    127,822x = 193,516 × 193,516
  4. Step 4: Simplify right side
    127,822x = 37,448,442,256
  5. Step 5: Solve for x
    x = 37,448,442,256/127,822
  6. Step 6: Final answer
    x = 292,973.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.