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Finding the Third Proportional to 119,416 and 174,201

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Solution

The third proportional to 119,416 and 174,201 is: 254,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,416 : 174,201 = 174,201 : x
  2. Step 2: Convert to fraction form
    119,416/174,201 = 174,201/x
  3. Step 3: Cross multiply
    119,416x = 174,201 × 174,201
  4. Step 4: Simplify right side
    119,416x = 30,345,988,401
  5. Step 5: Solve for x
    x = 30,345,988,401/119,416
  6. Step 6: Final answer
    x = 254,119.95

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Why These Related Problems?

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