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Finding the Third Proportional to 107,391 and 165,141

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Solution

The third proportional to 107,391 and 165,141 is: 253,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,391 : 165,141 = 165,141 : x
  2. Step 2: Convert to fraction form
    107,391/165,141 = 165,141/x
  3. Step 3: Cross multiply
    107,391x = 165,141 × 165,141
  4. Step 4: Simplify right side
    107,391x = 27,271,549,881
  5. Step 5: Solve for x
    x = 27,271,549,881/107,391
  6. Step 6: Final answer
    x = 253,946.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.