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Finding the Third Proportional to 90,153 and 160,623

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Solution

The third proportional to 90,153 and 160,623 is: 286,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,153 : 160,623 = 160,623 : x
  2. Step 2: Convert to fraction form
    90,153/160,623 = 160,623/x
  3. Step 3: Cross multiply
    90,153x = 160,623 × 160,623
  4. Step 4: Simplify right side
    90,153x = 25,799,748,129
  5. Step 5: Solve for x
    x = 25,799,748,129/90,153
  6. Step 6: Final answer
    x = 286,177.37

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.