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Finding the Third Proportional to 76,754.25 and 118,411.88

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Solution

The third proportional to 76,754.25 and 118,411.88 is: 182,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,754.25 : 118,411.88 = 118,411.88 : x
  2. Step 2: Convert to fraction form
    76,754.25/118,411.88 = 118,411.88/x
  3. Step 3: Cross multiply
    76,754.25x = 118,411.88 × 118,411.88
  4. Step 4: Simplify right side
    76,754.25x = 14,021,372,141.02
  5. Step 5: Solve for x
    x = 14,021,372,141.02/76,754.25
  6. Step 6: Final answer
    x = 182,678.77

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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.