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Finding the Third Proportional to 76,579.17 and 112,160.64

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Solution

The third proportional to 76,579.17 and 112,160.64 is: 164,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,579.17 : 112,160.64 = 112,160.64 : x
  2. Step 2: Convert to fraction form
    76,579.17/112,160.64 = 112,160.64/x
  3. Step 3: Cross multiply
    76,579.17x = 112,160.64 × 112,160.64
  4. Step 4: Simplify right side
    76,579.17x = 12,580,008,429.16
  5. Step 5: Solve for x
    x = 12,580,008,429.16/76,579.17
  6. Step 6: Final answer
    x = 164,274.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.