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Finding the Third Proportional to 56,128 and 123,968

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Solution

The third proportional to 56,128 and 123,968 is: 273,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,128 : 123,968 = 123,968 : x
  2. Step 2: Convert to fraction form
    56,128/123,968 = 123,968/x
  3. Step 3: Cross multiply
    56,128x = 123,968 × 123,968
  4. Step 4: Simplify right side
    56,128x = 15,368,065,024
  5. Step 5: Solve for x
    x = 15,368,065,024/56,128
  6. Step 6: Final answer
    x = 273,803.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.