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Finding the Third Proportional to 47,574 and 98,028

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Solution

The third proportional to 47,574 and 98,028 is: 201,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,574 : 98,028 = 98,028 : x
  2. Step 2: Convert to fraction form
    47,574/98,028 = 98,028/x
  3. Step 3: Cross multiply
    47,574x = 98,028 × 98,028
  4. Step 4: Simplify right side
    47,574x = 9,609,488,784
  5. Step 5: Solve for x
    x = 9,609,488,784/47,574
  6. Step 6: Final answer
    x = 201,990.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.