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Finding the Third Proportional to 60,923 and 141,028

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Solution

The third proportional to 60,923 and 141,028 is: 326,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,923 : 141,028 = 141,028 : x
  2. Step 2: Convert to fraction form
    60,923/141,028 = 141,028/x
  3. Step 3: Cross multiply
    60,923x = 141,028 × 141,028
  4. Step 4: Simplify right side
    60,923x = 19,888,896,784
  5. Step 5: Solve for x
    x = 19,888,896,784/60,923
  6. Step 6: Final answer
    x = 326,459.58

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.