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Finding the Third Proportional to 103,690 and 165,070

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Solution

The third proportional to 103,690 and 165,070 is: 262,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 165,070 = 165,070 : x
  2. Step 2: Convert to fraction form
    103,690/165,070 = 165,070/x
  3. Step 3: Cross multiply
    103,690x = 165,070 × 165,070
  4. Step 4: Simplify right side
    103,690x = 27,248,104,900
  5. Step 5: Solve for x
    x = 27,248,104,900/103,690
  6. Step 6: Final answer
    x = 262,784.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.