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Finding the Third Proportional to 59,538.38 and 128,424.38

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Solution

The third proportional to 59,538.38 and 128,424.38 is: 277,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,538.38 : 128,424.38 = 128,424.38 : x
  2. Step 2: Convert to fraction form
    59,538.38/128,424.38 = 128,424.38/x
  3. Step 3: Cross multiply
    59,538.38x = 128,424.38 × 128,424.38
  4. Step 4: Simplify right side
    59,538.38x = 16,492,820,094.14
  5. Step 5: Solve for x
    x = 16,492,820,094.14/59,538.38
  6. Step 6: Final answer
    x = 277,011.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.