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Finding the Third Proportional to 76,970.25 and 118,614.38

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Solution

The third proportional to 76,970.25 and 118,614.38 is: 182,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970.25 : 118,614.38 = 118,614.38 : x
  2. Step 2: Convert to fraction form
    76,970.25/118,614.38 = 118,614.38/x
  3. Step 3: Cross multiply
    76,970.25x = 118,614.38 × 118,614.38
  4. Step 4: Simplify right side
    76,970.25x = 14,069,369,956.64
  5. Step 5: Solve for x
    x = 14,069,369,956.64/76,970.25
  6. Step 6: Final answer
    x = 182,789.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.