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Finding the Third Proportional to 79,465 and 120,007

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Solution

The third proportional to 79,465 and 120,007 is: 181,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,465 : 120,007 = 120,007 : x
  2. Step 2: Convert to fraction form
    79,465/120,007 = 120,007/x
  3. Step 3: Cross multiply
    79,465x = 120,007 × 120,007
  4. Step 4: Simplify right side
    79,465x = 14,401,680,049
  5. Step 5: Solve for x
    x = 14,401,680,049/79,465
  6. Step 6: Final answer
    x = 181,233.00

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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.