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Finding the Third Proportional to 48,266 and 102,358

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Solution

The third proportional to 48,266 and 102,358 is: 217,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,266 : 102,358 = 102,358 : x
  2. Step 2: Convert to fraction form
    48,266/102,358 = 102,358/x
  3. Step 3: Cross multiply
    48,266x = 102,358 × 102,358
  4. Step 4: Simplify right side
    48,266x = 10,477,160,164
  5. Step 5: Solve for x
    x = 10,477,160,164/48,266
  6. Step 6: Final answer
    x = 217,071.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.