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Finding the Third Proportional to 102,024 and 158,364

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Solution

The third proportional to 102,024 and 158,364 is: 245,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024 : 158,364 = 158,364 : x
  2. Step 2: Convert to fraction form
    102,024/158,364 = 158,364/x
  3. Step 3: Cross multiply
    102,024x = 158,364 × 158,364
  4. Step 4: Simplify right side
    102,024x = 25,079,156,496
  5. Step 5: Solve for x
    x = 25,079,156,496/102,024
  6. Step 6: Final answer
    x = 245,816.24

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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.