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Finding the Third Proportional to 58,649.63 and 128,963.25

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Solution

The third proportional to 58,649.63 and 128,963.25 is: 283,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,649.63 : 128,963.25 = 128,963.25 : x
  2. Step 2: Convert to fraction form
    58,649.63/128,963.25 = 128,963.25/x
  3. Step 3: Cross multiply
    58,649.63x = 128,963.25 × 128,963.25
  4. Step 4: Simplify right side
    58,649.63x = 16,631,519,850.56
  5. Step 5: Solve for x
    x = 16,631,519,850.56/58,649.63
  6. Step 6: Final answer
    x = 283,574.19

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Why These Related Problems?

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