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Finding the Third Proportional to 163,107 and 252,083

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Solution

The third proportional to 163,107 and 252,083 is: 389,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,107 : 252,083 = 252,083 : x
  2. Step 2: Convert to fraction form
    163,107/252,083 = 252,083/x
  3. Step 3: Cross multiply
    163,107x = 252,083 × 252,083
  4. Step 4: Simplify right side
    163,107x = 63,545,838,889
  5. Step 5: Solve for x
    x = 63,545,838,889/163,107
  6. Step 6: Final answer
    x = 389,596.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.