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Finding the Third Proportional to 124,214.77 and 192,695.20

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Solution

The third proportional to 124,214.77 and 192,695.20 is: 298,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,214.77 : 192,695.20 = 192,695.20 : x
  2. Step 2: Convert to fraction form
    124,214.77/192,695.20 = 192,695.20/x
  3. Step 3: Cross multiply
    124,214.77x = 192,695.20 × 192,695.20
  4. Step 4: Simplify right side
    124,214.77x = 37,131,441,307.39
  5. Step 5: Solve for x
    x = 37,131,441,307.39/124,214.77
  6. Step 6: Final answer
    x = 298,929.37

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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.