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Finding the Third Proportional to 116,574 and 171,035

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Solution

The third proportional to 116,574 and 171,035 is: 250,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,574 : 171,035 = 171,035 : x
  2. Step 2: Convert to fraction form
    116,574/171,035 = 171,035/x
  3. Step 3: Cross multiply
    116,574x = 171,035 × 171,035
  4. Step 4: Simplify right side
    116,574x = 29,252,971,225
  5. Step 5: Solve for x
    x = 29,252,971,225/116,574
  6. Step 6: Final answer
    x = 250,939.07

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Why These Related Problems?

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