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Finding the Third Proportional to 103,090 and 159,623

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Solution

The third proportional to 103,090 and 159,623 is: 247,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,090 : 159,623 = 159,623 : x
  2. Step 2: Convert to fraction form
    103,090/159,623 = 159,623/x
  3. Step 3: Cross multiply
    103,090x = 159,623 × 159,623
  4. Step 4: Simplify right side
    103,090x = 25,479,502,129
  5. Step 5: Solve for x
    x = 25,479,502,129/103,090
  6. Step 6: Final answer
    x = 247,157.84

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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.