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Finding the Third Proportional to 104,115 and 157,454

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Solution

The third proportional to 104,115 and 157,454 is: 238,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,115 : 157,454 = 157,454 : x
  2. Step 2: Convert to fraction form
    104,115/157,454 = 157,454/x
  3. Step 3: Cross multiply
    104,115x = 157,454 × 157,454
  4. Step 4: Simplify right side
    104,115x = 24,791,762,116
  5. Step 5: Solve for x
    x = 24,791,762,116/104,115
  6. Step 6: Final answer
    x = 238,119.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.