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Finding the Third Proportional to 124,214 and 197,013

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Solution

The third proportional to 124,214 and 197,013 is: 312,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,214 : 197,013 = 197,013 : x
  2. Step 2: Convert to fraction form
    124,214/197,013 = 197,013/x
  3. Step 3: Cross multiply
    124,214x = 197,013 × 197,013
  4. Step 4: Simplify right side
    124,214x = 38,814,122,169
  5. Step 5: Solve for x
    x = 38,814,122,169/124,214
  6. Step 6: Final answer
    x = 312,477.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.