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Finding the Third Proportional to 117,665 and 177,587

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Solution

The third proportional to 117,665 and 177,587 is: 268,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,665 : 177,587 = 177,587 : x
  2. Step 2: Convert to fraction form
    117,665/177,587 = 177,587/x
  3. Step 3: Cross multiply
    117,665x = 177,587 × 177,587
  4. Step 4: Simplify right side
    117,665x = 31,537,142,569
  5. Step 5: Solve for x
    x = 31,537,142,569/117,665
  6. Step 6: Final answer
    x = 268,024.84

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Why These Related Problems?

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