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Finding the Third Proportional to 129,104.63 and 197,373

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Solution

The third proportional to 129,104.63 and 197,373 is: 301,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,104.63 : 197,373 = 197,373 : x
  2. Step 2: Convert to fraction form
    129,104.63/197,373 = 197,373/x
  3. Step 3: Cross multiply
    129,104.63x = 197,373 × 197,373
  4. Step 4: Simplify right side
    129,104.63x = 38,956,101,129
  5. Step 5: Solve for x
    x = 38,956,101,129/129,104.63
  6. Step 6: Final answer
    x = 301,740.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.