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Finding the Third Proportional to 124,031 and 197,121

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Solution

The third proportional to 124,031 and 197,121 is: 313,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,031 : 197,121 = 197,121 : x
  2. Step 2: Convert to fraction form
    124,031/197,121 = 197,121/x
  3. Step 3: Cross multiply
    124,031x = 197,121 × 197,121
  4. Step 4: Simplify right side
    124,031x = 38,856,688,641
  5. Step 5: Solve for x
    x = 38,856,688,641/124,031
  6. Step 6: Final answer
    x = 313,282.07

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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.