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Finding the Third Proportional to 124,467 and 197,896.50

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Solution

The third proportional to 124,467 and 197,896.50 is: 314,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,467 : 197,896.50 = 197,896.50 : x
  2. Step 2: Convert to fraction form
    124,467/197,896.50 = 197,896.50/x
  3. Step 3: Cross multiply
    124,467x = 197,896.50 × 197,896.50
  4. Step 4: Simplify right side
    124,467x = 39,163,024,712.25
  5. Step 5: Solve for x
    x = 39,163,024,712.25/124,467
  6. Step 6: Final answer
    x = 314,645.85

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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.