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Finding the Third Proportional to 135,602 and 209,964

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Solution

The third proportional to 135,602 and 209,964 is: 325,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,602 : 209,964 = 209,964 : x
  2. Step 2: Convert to fraction form
    135,602/209,964 = 209,964/x
  3. Step 3: Cross multiply
    135,602x = 209,964 × 209,964
  4. Step 4: Simplify right side
    135,602x = 44,084,881,296
  5. Step 5: Solve for x
    x = 44,084,881,296/135,602
  6. Step 6: Final answer
    x = 325,104.95

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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.