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Finding the Third Proportional to 58,665.38 and 128,084.63

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Solution

The third proportional to 58,665.38 and 128,084.63 is: 279,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,665.38 : 128,084.63 = 128,084.63 : x
  2. Step 2: Convert to fraction form
    58,665.38/128,084.63 = 128,084.63/x
  3. Step 3: Cross multiply
    58,665.38x = 128,084.63 × 128,084.63
  4. Step 4: Simplify right side
    58,665.38x = 16,405,671,161.39
  5. Step 5: Solve for x
    x = 16,405,671,161.39/58,665.38
  6. Step 6: Final answer
    x = 279,648.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.