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Finding the Third Proportional to 124,729 and 191,707

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Solution

The third proportional to 124,729 and 191,707 is: 294,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,729 : 191,707 = 191,707 : x
  2. Step 2: Convert to fraction form
    124,729/191,707 = 191,707/x
  3. Step 3: Cross multiply
    124,729x = 191,707 × 191,707
  4. Step 4: Simplify right side
    124,729x = 36,751,573,849
  5. Step 5: Solve for x
    x = 36,751,573,849/124,729
  6. Step 6: Final answer
    x = 294,651.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.