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Finding the Third Proportional to 129,257 and 193,113

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Solution

The third proportional to 129,257 and 193,113 is: 288,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,257 : 193,113 = 193,113 : x
  2. Step 2: Convert to fraction form
    129,257/193,113 = 193,113/x
  3. Step 3: Cross multiply
    129,257x = 193,113 × 193,113
  4. Step 4: Simplify right side
    129,257x = 37,292,630,769
  5. Step 5: Solve for x
    x = 37,292,630,769/129,257
  6. Step 6: Final answer
    x = 288,515.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.