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Finding the Third Proportional to 119,056 and 174,696

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Solution

The third proportional to 119,056 and 174,696 is: 256,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,056 : 174,696 = 174,696 : x
  2. Step 2: Convert to fraction form
    119,056/174,696 = 174,696/x
  3. Step 3: Cross multiply
    119,056x = 174,696 × 174,696
  4. Step 4: Simplify right side
    119,056x = 30,518,692,416
  5. Step 5: Solve for x
    x = 30,518,692,416/119,056
  6. Step 6: Final answer
    x = 256,338.97

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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.