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Finding the Third Proportional to 65,875.78 and 146,490.19

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Solution

The third proportional to 65,875.78 and 146,490.19 is: 325,755.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,875.78 : 146,490.19 = 146,490.19 : x
  2. Step 2: Convert to fraction form
    65,875.78/146,490.19 = 146,490.19/x
  3. Step 3: Cross multiply
    65,875.78x = 146,490.19 × 146,490.19
  4. Step 4: Simplify right side
    65,875.78x = 21,459,375,033.79
  5. Step 5: Solve for x
    x = 21,459,375,033.79/65,875.78
  6. Step 6: Final answer
    x = 325,755.15

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.