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Finding the Third Proportional to 46,004 and 98,566

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Solution

The third proportional to 46,004 and 98,566 is: 211,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,004 : 98,566 = 98,566 : x
  2. Step 2: Convert to fraction form
    46,004/98,566 = 98,566/x
  3. Step 3: Cross multiply
    46,004x = 98,566 × 98,566
  4. Step 4: Simplify right side
    46,004x = 9,715,256,356
  5. Step 5: Solve for x
    x = 9,715,256,356/46,004
  6. Step 6: Final answer
    x = 211,182.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.