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Finding the Third Proportional to 117,035 and 176,587

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Solution

The third proportional to 117,035 and 176,587 is: 266,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,035 : 176,587 = 176,587 : x
  2. Step 2: Convert to fraction form
    117,035/176,587 = 176,587/x
  3. Step 3: Cross multiply
    117,035x = 176,587 × 176,587
  4. Step 4: Simplify right side
    117,035x = 31,182,968,569
  5. Step 5: Solve for x
    x = 31,182,968,569/117,035
  6. Step 6: Final answer
    x = 266,441.39

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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.