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Finding the Third Proportional to 49,574 and 107,572

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Solution

The third proportional to 49,574 and 107,572 is: 233,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,574 : 107,572 = 107,572 : x
  2. Step 2: Convert to fraction form
    49,574/107,572 = 107,572/x
  3. Step 3: Cross multiply
    49,574x = 107,572 × 107,572
  4. Step 4: Simplify right side
    49,574x = 11,571,735,184
  5. Step 5: Solve for x
    x = 11,571,735,184/49,574
  6. Step 6: Final answer
    x = 233,423.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.