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Finding the Third Proportional to 104,175 and 160,587

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Solution

The third proportional to 104,175 and 160,587 is: 247,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,175 : 160,587 = 160,587 : x
  2. Step 2: Convert to fraction form
    104,175/160,587 = 160,587/x
  3. Step 3: Cross multiply
    104,175x = 160,587 × 160,587
  4. Step 4: Simplify right side
    104,175x = 25,788,184,569
  5. Step 5: Solve for x
    x = 25,788,184,569/104,175
  6. Step 6: Final answer
    x = 247,546.77

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Why These Related Problems?

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