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Finding the Third Proportional to 58,356.75 and 128,060.25

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Solution

The third proportional to 58,356.75 and 128,060.25 is: 281,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,356.75 : 128,060.25 = 128,060.25 : x
  2. Step 2: Convert to fraction form
    58,356.75/128,060.25 = 128,060.25/x
  3. Step 3: Cross multiply
    58,356.75x = 128,060.25 × 128,060.25
  4. Step 4: Simplify right side
    58,356.75x = 16,399,427,630.06
  5. Step 5: Solve for x
    x = 16,399,427,630.06/58,356.75
  6. Step 6: Final answer
    x = 281,020.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.