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Finding the Third Proportional to 70,354 and 147,997

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Solution

The third proportional to 70,354 and 147,997 is: 311,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,354 : 147,997 = 147,997 : x
  2. Step 2: Convert to fraction form
    70,354/147,997 = 147,997/x
  3. Step 3: Cross multiply
    70,354x = 147,997 × 147,997
  4. Step 4: Simplify right side
    70,354x = 21,903,112,009
  5. Step 5: Solve for x
    x = 21,903,112,009/70,354
  6. Step 6: Final answer
    x = 311,327.17

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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.