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Finding the Third Proportional to 59,653.69 and 128,647.69

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Solution

The third proportional to 59,653.69 and 128,647.69 is: 277,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,653.69 : 128,647.69 = 128,647.69 : x
  2. Step 2: Convert to fraction form
    59,653.69/128,647.69 = 128,647.69/x
  3. Step 3: Cross multiply
    59,653.69x = 128,647.69 × 128,647.69
  4. Step 4: Simplify right side
    59,653.69x = 16,550,227,499.10
  5. Step 5: Solve for x
    x = 16,550,227,499.10/59,653.69
  6. Step 6: Final answer
    x = 277,438.47

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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.