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Finding the Third Proportional to 140,951 and 193,282

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Solution

The third proportional to 140,951 and 193,282 is: 265,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,951 : 193,282 = 193,282 : x
  2. Step 2: Convert to fraction form
    140,951/193,282 = 193,282/x
  3. Step 3: Cross multiply
    140,951x = 193,282 × 193,282
  4. Step 4: Simplify right side
    140,951x = 37,357,931,524
  5. Step 5: Solve for x
    x = 37,357,931,524/140,951
  6. Step 6: Final answer
    x = 265,041.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.