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Finding the Third Proportional to 122,970 and 174,330

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Solution

The third proportional to 122,970 and 174,330 is: 247,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,970 : 174,330 = 174,330 : x
  2. Step 2: Convert to fraction form
    122,970/174,330 = 174,330/x
  3. Step 3: Cross multiply
    122,970x = 174,330 × 174,330
  4. Step 4: Simplify right side
    122,970x = 30,390,948,900
  5. Step 5: Solve for x
    x = 30,390,948,900/122,970
  6. Step 6: Final answer
    x = 247,141.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.