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Finding the Third Proportional to 56,525 and 121,245

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Solution

The third proportional to 56,525 and 121,245 is: 260,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,525 : 121,245 = 121,245 : x
  2. Step 2: Convert to fraction form
    56,525/121,245 = 121,245/x
  3. Step 3: Cross multiply
    56,525x = 121,245 × 121,245
  4. Step 4: Simplify right side
    56,525x = 14,700,350,025
  5. Step 5: Solve for x
    x = 14,700,350,025/56,525
  6. Step 6: Final answer
    x = 260,068.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.