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Finding the Third Proportional to 76,349.25 and 118,886.25

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Solution

The third proportional to 76,349.25 and 118,886.25 is: 185,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,349.25 : 118,886.25 = 118,886.25 : x
  2. Step 2: Convert to fraction form
    76,349.25/118,886.25 = 118,886.25/x
  3. Step 3: Cross multiply
    76,349.25x = 118,886.25 × 118,886.25
  4. Step 4: Simplify right side
    76,349.25x = 14,133,940,439.06
  5. Step 5: Solve for x
    x = 14,133,940,439.06/76,349.25
  6. Step 6: Final answer
    x = 185,122.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.