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Finding the Third Proportional to 56,953.50 and 133,068.75

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Solution

The third proportional to 56,953.50 and 133,068.75 is: 310,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,953.50 : 133,068.75 = 133,068.75 : x
  2. Step 2: Convert to fraction form
    56,953.50/133,068.75 = 133,068.75/x
  3. Step 3: Cross multiply
    56,953.50x = 133,068.75 × 133,068.75
  4. Step 4: Simplify right side
    56,953.50x = 17,707,292,226.56
  5. Step 5: Solve for x
    x = 17,707,292,226.56/56,953.50
  6. Step 6: Final answer
    x = 310,907.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.