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Finding the Third Proportional to 60,838 and 123,128

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Solution

The third proportional to 60,838 and 123,128 is: 249,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,838 : 123,128 = 123,128 : x
  2. Step 2: Convert to fraction form
    60,838/123,128 = 123,128/x
  3. Step 3: Cross multiply
    60,838x = 123,128 × 123,128
  4. Step 4: Simplify right side
    60,838x = 15,160,504,384
  5. Step 5: Solve for x
    x = 15,160,504,384/60,838
  6. Step 6: Final answer
    x = 249,194.65

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.