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Finding the Third Proportional to 124,470 and 197,901

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Solution

The third proportional to 124,470 and 197,901 is: 314,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,470 : 197,901 = 197,901 : x
  2. Step 2: Convert to fraction form
    124,470/197,901 = 197,901/x
  3. Step 3: Cross multiply
    124,470x = 197,901 × 197,901
  4. Step 4: Simplify right side
    124,470x = 39,164,805,801
  5. Step 5: Solve for x
    x = 39,164,805,801/124,470
  6. Step 6: Final answer
    x = 314,652.57

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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.