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Finding the Third Proportional to 119,723 and 174,318

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Solution

The third proportional to 119,723 and 174,318 is: 253,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,723 : 174,318 = 174,318 : x
  2. Step 2: Convert to fraction form
    119,723/174,318 = 174,318/x
  3. Step 3: Cross multiply
    119,723x = 174,318 × 174,318
  4. Step 4: Simplify right side
    119,723x = 30,386,765,124
  5. Step 5: Solve for x
    x = 30,386,765,124/119,723
  6. Step 6: Final answer
    x = 253,808.92

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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.