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Finding the Third Proportional to 42,054.19 and 70,090.31

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Solution

The third proportional to 42,054.19 and 70,090.31 is: 116,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,054.19 : 70,090.31 = 70,090.31 : x
  2. Step 2: Convert to fraction form
    42,054.19/70,090.31 = 70,090.31/x
  3. Step 3: Cross multiply
    42,054.19x = 70,090.31 × 70,090.31
  4. Step 4: Simplify right side
    42,054.19x = 4,912,651,906.35
  5. Step 5: Solve for x
    x = 4,912,651,906.35/42,054.19
  6. Step 6: Final answer
    x = 116,817.19

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.