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Finding the Third Proportional to 122,058 and 174,210

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Solution

The third proportional to 122,058 and 174,210 is: 248,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,058 : 174,210 = 174,210 : x
  2. Step 2: Convert to fraction form
    122,058/174,210 = 174,210/x
  3. Step 3: Cross multiply
    122,058x = 174,210 × 174,210
  4. Step 4: Simplify right side
    122,058x = 30,349,124,100
  5. Step 5: Solve for x
    x = 30,349,124,100/122,058
  6. Step 6: Final answer
    x = 248,645.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.