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Finding the Third Proportional to 105,148.13 and 158,815.69

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Solution

The third proportional to 105,148.13 and 158,815.69 is: 239,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,148.13 : 158,815.69 = 158,815.69 : x
  2. Step 2: Convert to fraction form
    105,148.13/158,815.69 = 158,815.69/x
  3. Step 3: Cross multiply
    105,148.13x = 158,815.69 × 158,815.69
  4. Step 4: Simplify right side
    105,148.13x = 25,222,422,596.10
  5. Step 5: Solve for x
    x = 25,222,422,596.10/105,148.13
  6. Step 6: Final answer
    x = 239,875.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.