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Finding the Third Proportional to 100,567.75 and 149,111

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Solution

The third proportional to 100,567.75 and 149,111 is: 221,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,567.75 : 149,111 = 149,111 : x
  2. Step 2: Convert to fraction form
    100,567.75/149,111 = 149,111/x
  3. Step 3: Cross multiply
    100,567.75x = 149,111 × 149,111
  4. Step 4: Simplify right side
    100,567.75x = 22,234,090,321
  5. Step 5: Solve for x
    x = 22,234,090,321/100,567.75
  6. Step 6: Final answer
    x = 221,085.69

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.