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Finding the Third Proportional to 105,240 and 157,980

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Solution

The third proportional to 105,240 and 157,980 is: 237,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,240 : 157,980 = 157,980 : x
  2. Step 2: Convert to fraction form
    105,240/157,980 = 157,980/x
  3. Step 3: Cross multiply
    105,240x = 157,980 × 157,980
  4. Step 4: Simplify right side
    105,240x = 24,957,680,400
  5. Step 5: Solve for x
    x = 24,957,680,400/105,240
  6. Step 6: Final answer
    x = 237,150.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.