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Finding the Third Proportional to 138,113 and 290,157.25

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Solution

The third proportional to 138,113 and 290,157.25 is: 609,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,113 : 290,157.25 = 290,157.25 : x
  2. Step 2: Convert to fraction form
    138,113/290,157.25 = 290,157.25/x
  3. Step 3: Cross multiply
    138,113x = 290,157.25 × 290,157.25
  4. Step 4: Simplify right side
    138,113x = 84,191,229,727.56
  5. Step 5: Solve for x
    x = 84,191,229,727.56/138,113
  6. Step 6: Final answer
    x = 609,582.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.