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Finding the Third Proportional to 102,024 and 158,358

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Solution

The third proportional to 102,024 and 158,358 is: 245,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024 : 158,358 = 158,358 : x
  2. Step 2: Convert to fraction form
    102,024/158,358 = 158,358/x
  3. Step 3: Cross multiply
    102,024x = 158,358 × 158,358
  4. Step 4: Simplify right side
    102,024x = 25,077,256,164
  5. Step 5: Solve for x
    x = 25,077,256,164/102,024
  6. Step 6: Final answer
    x = 245,797.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.