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Finding the Third Proportional to 76,569.75 and 118,293.75

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Solution

The third proportional to 76,569.75 and 118,293.75 is: 182,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,569.75 : 118,293.75 = 118,293.75 : x
  2. Step 2: Convert to fraction form
    76,569.75/118,293.75 = 118,293.75/x
  3. Step 3: Cross multiply
    76,569.75x = 118,293.75 × 118,293.75
  4. Step 4: Simplify right side
    76,569.75x = 13,993,411,289.06
  5. Step 5: Solve for x
    x = 13,993,411,289.06/76,569.75
  6. Step 6: Final answer
    x = 182,753.78

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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.