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Finding the Third Proportional to 56,532 and 121,717.50

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Solution

The third proportional to 56,532 and 121,717.50 is: 262,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,532 : 121,717.50 = 121,717.50 : x
  2. Step 2: Convert to fraction form
    56,532/121,717.50 = 121,717.50/x
  3. Step 3: Cross multiply
    56,532x = 121,717.50 × 121,717.50
  4. Step 4: Simplify right side
    56,532x = 14,815,149,806.25
  5. Step 5: Solve for x
    x = 14,815,149,806.25/56,532
  6. Step 6: Final answer
    x = 262,066.61

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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.