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Finding the Third Proportional to 112,848.50 and 171,489

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Solution

The third proportional to 112,848.50 and 171,489 is: 260,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,848.50 : 171,489 = 171,489 : x
  2. Step 2: Convert to fraction form
    112,848.50/171,489 = 171,489/x
  3. Step 3: Cross multiply
    112,848.50x = 171,489 × 171,489
  4. Step 4: Simplify right side
    112,848.50x = 29,408,477,121
  5. Step 5: Solve for x
    x = 29,408,477,121/112,848.50
  6. Step 6: Final answer
    x = 260,601.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.