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Finding the Third Proportional to 58,139 and 128,063

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Solution

The third proportional to 58,139 and 128,063 is: 282,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,139 : 128,063 = 128,063 : x
  2. Step 2: Convert to fraction form
    58,139/128,063 = 128,063/x
  3. Step 3: Cross multiply
    58,139x = 128,063 × 128,063
  4. Step 4: Simplify right side
    58,139x = 16,400,131,969
  5. Step 5: Solve for x
    x = 16,400,131,969/58,139
  6. Step 6: Final answer
    x = 282,084.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.