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Finding the Third Proportional to 49,319 and 72,133

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Solution

The third proportional to 49,319 and 72,133 is: 105,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,319 : 72,133 = 72,133 : x
  2. Step 2: Convert to fraction form
    49,319/72,133 = 72,133/x
  3. Step 3: Cross multiply
    49,319x = 72,133 × 72,133
  4. Step 4: Simplify right side
    49,319x = 5,203,169,689
  5. Step 5: Solve for x
    x = 5,203,169,689/49,319
  6. Step 6: Final answer
    x = 105,500.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.