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Finding the Third Proportional to 46,265 and 99,546

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Solution

The third proportional to 46,265 and 99,546 is: 214,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,265 : 99,546 = 99,546 : x
  2. Step 2: Convert to fraction form
    46,265/99,546 = 99,546/x
  3. Step 3: Cross multiply
    46,265x = 99,546 × 99,546
  4. Step 4: Simplify right side
    46,265x = 9,909,406,116
  5. Step 5: Solve for x
    x = 9,909,406,116/46,265
  6. Step 6: Final answer
    x = 214,187.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.