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Finding the Third Proportional to 103,588 and 159,960

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Solution

The third proportional to 103,588 and 159,960 is: 247,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,588 : 159,960 = 159,960 : x
  2. Step 2: Convert to fraction form
    103,588/159,960 = 159,960/x
  3. Step 3: Cross multiply
    103,588x = 159,960 × 159,960
  4. Step 4: Simplify right side
    103,588x = 25,587,201,600
  5. Step 5: Solve for x
    x = 25,587,201,600/103,588
  6. Step 6: Final answer
    x = 247,009.32

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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.