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Finding the Third Proportional to 56,160 and 121,716

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Solution

The third proportional to 56,160 and 121,716 is: 263,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,160 : 121,716 = 121,716 : x
  2. Step 2: Convert to fraction form
    56,160/121,716 = 121,716/x
  3. Step 3: Cross multiply
    56,160x = 121,716 × 121,716
  4. Step 4: Simplify right side
    56,160x = 14,814,784,656
  5. Step 5: Solve for x
    x = 14,814,784,656/56,160
  6. Step 6: Final answer
    x = 263,796.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.