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Finding the Third Proportional to 50,004 and 83,358

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Solution

The third proportional to 50,004 and 83,358 is: 138,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,004 : 83,358 = 83,358 : x
  2. Step 2: Convert to fraction form
    50,004/83,358 = 83,358/x
  3. Step 3: Cross multiply
    50,004x = 83,358 × 83,358
  4. Step 4: Simplify right side
    50,004x = 6,948,556,164
  5. Step 5: Solve for x
    x = 6,948,556,164/50,004
  6. Step 6: Final answer
    x = 138,960.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.