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Finding the Third Proportional to 124,111.88 and 191,784.38

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Solution

The third proportional to 124,111.88 and 191,784.38 is: 296,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,111.88 : 191,784.38 = 191,784.38 : x
  2. Step 2: Convert to fraction form
    124,111.88/191,784.38 = 191,784.38/x
  3. Step 3: Cross multiply
    124,111.88x = 191,784.38 × 191,784.38
  4. Step 4: Simplify right side
    124,111.88x = 36,781,246,494.14
  5. Step 5: Solve for x
    x = 36,781,246,494.14/124,111.88
  6. Step 6: Final answer
    x = 296,355.58

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