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Finding the Third Proportional to 124,518 and 193,127

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Solution

The third proportional to 124,518 and 193,127 is: 299,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,518 : 193,127 = 193,127 : x
  2. Step 2: Convert to fraction form
    124,518/193,127 = 193,127/x
  3. Step 3: Cross multiply
    124,518x = 193,127 × 193,127
  4. Step 4: Simplify right side
    124,518x = 37,298,038,129
  5. Step 5: Solve for x
    x = 37,298,038,129/124,518
  6. Step 6: Final answer
    x = 299,539.33

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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.