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Finding the Third Proportional to 95,088 and 147,240

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Solution

The third proportional to 95,088 and 147,240 is: 227,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,088 : 147,240 = 147,240 : x
  2. Step 2: Convert to fraction form
    95,088/147,240 = 147,240/x
  3. Step 3: Cross multiply
    95,088x = 147,240 × 147,240
  4. Step 4: Simplify right side
    95,088x = 21,679,617,600
  5. Step 5: Solve for x
    x = 21,679,617,600/95,088
  6. Step 6: Final answer
    x = 227,995.31

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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.