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Finding the Third Proportional to 57,402 and 124,026.75

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Solution

The third proportional to 57,402 and 124,026.75 is: 267,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402 : 124,026.75 = 124,026.75 : x
  2. Step 2: Convert to fraction form
    57,402/124,026.75 = 124,026.75/x
  3. Step 3: Cross multiply
    57,402x = 124,026.75 × 124,026.75
  4. Step 4: Simplify right side
    57,402x = 15,382,634,715.56
  5. Step 5: Solve for x
    x = 15,382,634,715.56/57,402
  6. Step 6: Final answer
    x = 267,980.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.