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Finding the Third Proportional to 129,603.75 and 211,632

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Solution

The third proportional to 129,603.75 and 211,632 is: 345,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,603.75 : 211,632 = 211,632 : x
  2. Step 2: Convert to fraction form
    129,603.75/211,632 = 211,632/x
  3. Step 3: Cross multiply
    129,603.75x = 211,632 × 211,632
  4. Step 4: Simplify right side
    129,603.75x = 44,788,103,424
  5. Step 5: Solve for x
    x = 44,788,103,424/129,603.75
  6. Step 6: Final answer
    x = 345,577.22

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.