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Finding the Third Proportional to 102,630 and 144,009

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Solution

The third proportional to 102,630 and 144,009 is: 202,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,630 : 144,009 = 144,009 : x
  2. Step 2: Convert to fraction form
    102,630/144,009 = 144,009/x
  3. Step 3: Cross multiply
    102,630x = 144,009 × 144,009
  4. Step 4: Simplify right side
    102,630x = 20,738,592,081
  5. Step 5: Solve for x
    x = 20,738,592,081/102,630
  6. Step 6: Final answer
    x = 202,071.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.