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Finding the Third Proportional to 74,971 and 163,587

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Solution

The third proportional to 74,971 and 163,587 is: 356,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,971 : 163,587 = 163,587 : x
  2. Step 2: Convert to fraction form
    74,971/163,587 = 163,587/x
  3. Step 3: Cross multiply
    74,971x = 163,587 × 163,587
  4. Step 4: Simplify right side
    74,971x = 26,760,706,569
  5. Step 5: Solve for x
    x = 26,760,706,569/74,971
  6. Step 6: Final answer
    x = 356,947.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.