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Finding the Third Proportional to 49,368 and 108,574

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Solution

The third proportional to 49,368 and 108,574 is: 238,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,368 : 108,574 = 108,574 : x
  2. Step 2: Convert to fraction form
    49,368/108,574 = 108,574/x
  3. Step 3: Cross multiply
    49,368x = 108,574 × 108,574
  4. Step 4: Simplify right side
    49,368x = 11,788,313,476
  5. Step 5: Solve for x
    x = 11,788,313,476/49,368
  6. Step 6: Final answer
    x = 238,784.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.