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Finding the Third Proportional to 102,914 and 163,587

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Solution

The third proportional to 102,914 and 163,587 is: 260,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,914 : 163,587 = 163,587 : x
  2. Step 2: Convert to fraction form
    102,914/163,587 = 163,587/x
  3. Step 3: Cross multiply
    102,914x = 163,587 × 163,587
  4. Step 4: Simplify right side
    102,914x = 26,760,706,569
  5. Step 5: Solve for x
    x = 26,760,706,569/102,914
  6. Step 6: Final answer
    x = 260,029.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.