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Finding the Third Proportional to 80,010 and 116,724

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Solution

The third proportional to 80,010 and 116,724 is: 170,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,010 : 116,724 = 116,724 : x
  2. Step 2: Convert to fraction form
    80,010/116,724 = 116,724/x
  3. Step 3: Cross multiply
    80,010x = 116,724 × 116,724
  4. Step 4: Simplify right side
    80,010x = 13,624,492,176
  5. Step 5: Solve for x
    x = 13,624,492,176/80,010
  6. Step 6: Final answer
    x = 170,284.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.