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Finding the Third Proportional to 76,766.63 and 118,429.31

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Solution

The third proportional to 76,766.63 and 118,429.31 is: 182,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,766.63 : 118,429.31 = 118,429.31 : x
  2. Step 2: Convert to fraction form
    76,766.63/118,429.31 = 118,429.31/x
  3. Step 3: Cross multiply
    76,766.63x = 118,429.31 × 118,429.31
  4. Step 4: Simplify right side
    76,766.63x = 14,025,502,059.22
  5. Step 5: Solve for x
    x = 14,025,502,059.22/76,766.63
  6. Step 6: Final answer
    x = 182,703.12

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