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Finding the Third Proportional to 46,838 and 110,563

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Solution

The third proportional to 46,838 and 110,563 is: 260,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,838 : 110,563 = 110,563 : x
  2. Step 2: Convert to fraction form
    46,838/110,563 = 110,563/x
  3. Step 3: Cross multiply
    46,838x = 110,563 × 110,563
  4. Step 4: Simplify right side
    46,838x = 12,224,176,969
  5. Step 5: Solve for x
    x = 12,224,176,969/46,838
  6. Step 6: Final answer
    x = 260,988.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.