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Finding the Third Proportional to 56,460.16 and 125,375.98

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Solution

The third proportional to 56,460.16 and 125,375.98 is: 278,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,460.16 : 125,375.98 = 125,375.98 : x
  2. Step 2: Convert to fraction form
    56,460.16/125,375.98 = 125,375.98/x
  3. Step 3: Cross multiply
    56,460.16x = 125,375.98 × 125,375.98
  4. Step 4: Simplify right side
    56,460.16x = 15,719,135,499.00
  5. Step 5: Solve for x
    x = 15,719,135,499.00/56,460.16
  6. Step 6: Final answer
    x = 278,411.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.