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Finding the Third Proportional to 58,326.75 and 127,953.56

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Solution

The third proportional to 58,326.75 and 127,953.56 is: 280,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,326.75 : 127,953.56 = 127,953.56 : x
  2. Step 2: Convert to fraction form
    58,326.75/127,953.56 = 127,953.56/x
  3. Step 3: Cross multiply
    58,326.75x = 127,953.56 × 127,953.56
  4. Step 4: Simplify right side
    58,326.75x = 16,372,114,156.44
  5. Step 5: Solve for x
    x = 16,372,114,156.44/58,326.75
  6. Step 6: Final answer
    x = 280,696.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.