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Finding the Third Proportional to 46,245 and 99,774

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Solution

The third proportional to 46,245 and 99,774 is: 215,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,245 : 99,774 = 99,774 : x
  2. Step 2: Convert to fraction form
    46,245/99,774 = 99,774/x
  3. Step 3: Cross multiply
    46,245x = 99,774 × 99,774
  4. Step 4: Simplify right side
    46,245x = 9,954,851,076
  5. Step 5: Solve for x
    x = 9,954,851,076/46,245
  6. Step 6: Final answer
    x = 215,263.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.