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Finding the Third Proportional to 118,239.75 and 178,587

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Solution

The third proportional to 118,239.75 and 178,587 is: 269,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,239.75 : 178,587 = 178,587 : x
  2. Step 2: Convert to fraction form
    118,239.75/178,587 = 178,587/x
  3. Step 3: Cross multiply
    118,239.75x = 178,587 × 178,587
  4. Step 4: Simplify right side
    118,239.75x = 31,893,316,569
  5. Step 5: Solve for x
    x = 31,893,316,569/118,239.75
  6. Step 6: Final answer
    x = 269,734.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.