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Finding the Third Proportional to 63,784.13 and 139,046.63

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Solution

The third proportional to 63,784.13 and 139,046.63 is: 303,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,784.13 : 139,046.63 = 139,046.63 : x
  2. Step 2: Convert to fraction form
    63,784.13/139,046.63 = 139,046.63/x
  3. Step 3: Cross multiply
    63,784.13x = 139,046.63 × 139,046.63
  4. Step 4: Simplify right side
    63,784.13x = 19,333,963,923.89
  5. Step 5: Solve for x
    x = 19,333,963,923.89/63,784.13
  6. Step 6: Final answer
    x = 303,115.61

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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.