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Finding the Third Proportional to 105,729 and 163,602

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Solution

The third proportional to 105,729 and 163,602 is: 253,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,729 : 163,602 = 163,602 : x
  2. Step 2: Convert to fraction form
    105,729/163,602 = 163,602/x
  3. Step 3: Cross multiply
    105,729x = 163,602 × 163,602
  4. Step 4: Simplify right side
    105,729x = 26,765,614,404
  5. Step 5: Solve for x
    x = 26,765,614,404/105,729
  6. Step 6: Final answer
    x = 253,153.01

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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.