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Finding the Third Proportional to 124,963.50 and 193,550.63

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Solution

The third proportional to 124,963.50 and 193,550.63 is: 299,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,963.50 : 193,550.63 = 193,550.63 : x
  2. Step 2: Convert to fraction form
    124,963.50/193,550.63 = 193,550.63/x
  3. Step 3: Cross multiply
    124,963.50x = 193,550.63 × 193,550.63
  4. Step 4: Simplify right side
    124,963.50x = 37,461,844,437.89
  5. Step 5: Solve for x
    x = 37,461,844,437.89/124,963.50
  6. Step 6: Final answer
    x = 299,782.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.