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Finding the Third Proportional to 75,460 and 158,263

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Solution

The third proportional to 75,460 and 158,263 is: 331,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,460 : 158,263 = 158,263 : x
  2. Step 2: Convert to fraction form
    75,460/158,263 = 158,263/x
  3. Step 3: Cross multiply
    75,460x = 158,263 × 158,263
  4. Step 4: Simplify right side
    75,460x = 25,047,177,169
  5. Step 5: Solve for x
    x = 25,047,177,169/75,460
  6. Step 6: Final answer
    x = 331,926.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.