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Finding the Third Proportional to 70,073 and 105,007

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Solution

The third proportional to 70,073 and 105,007 is: 157,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,073 : 105,007 = 105,007 : x
  2. Step 2: Convert to fraction form
    70,073/105,007 = 105,007/x
  3. Step 3: Cross multiply
    70,073x = 105,007 × 105,007
  4. Step 4: Simplify right side
    70,073x = 11,026,470,049
  5. Step 5: Solve for x
    x = 11,026,470,049/70,073
  6. Step 6: Final answer
    x = 157,356.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.