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Finding the Third Proportional to 110,090.25 and 170,109

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Solution

The third proportional to 110,090.25 and 170,109 is: 262,848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,090.25 : 170,109 = 170,109 : x
  2. Step 2: Convert to fraction form
    110,090.25/170,109 = 170,109/x
  3. Step 3: Cross multiply
    110,090.25x = 170,109 × 170,109
  4. Step 4: Simplify right side
    110,090.25x = 28,937,071,881
  5. Step 5: Solve for x
    x = 28,937,071,881/110,090.25
  6. Step 6: Final answer
    x = 262,848.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.