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Finding the Third Proportional to 79,354 and 116,827

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Solution

The third proportional to 79,354 and 116,827 is: 171,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,354 : 116,827 = 116,827 : x
  2. Step 2: Convert to fraction form
    79,354/116,827 = 116,827/x
  3. Step 3: Cross multiply
    79,354x = 116,827 × 116,827
  4. Step 4: Simplify right side
    79,354x = 13,648,547,929
  5. Step 5: Solve for x
    x = 13,648,547,929/79,354
  6. Step 6: Final answer
    x = 171,995.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.