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Finding the Third Proportional to 56,477 and 121,701.75

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Solution

The third proportional to 56,477 and 121,701.75 is: 262,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,477 : 121,701.75 = 121,701.75 : x
  2. Step 2: Convert to fraction form
    56,477/121,701.75 = 121,701.75/x
  3. Step 3: Cross multiply
    56,477x = 121,701.75 × 121,701.75
  4. Step 4: Simplify right side
    56,477x = 14,811,315,953.06
  5. Step 5: Solve for x
    x = 14,811,315,953.06/56,477
  6. Step 6: Final answer
    x = 262,253.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.