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Finding the Third Proportional to 70,104 and 152,895

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Solution

The third proportional to 70,104 and 152,895 is: 333,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,104 : 152,895 = 152,895 : x
  2. Step 2: Convert to fraction form
    70,104/152,895 = 152,895/x
  3. Step 3: Cross multiply
    70,104x = 152,895 × 152,895
  4. Step 4: Simplify right side
    70,104x = 23,376,881,025
  5. Step 5: Solve for x
    x = 23,376,881,025/70,104
  6. Step 6: Final answer
    x = 333,460.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.