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Finding the Third Proportional to 91,664 and 141,929

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Solution

The third proportional to 91,664 and 141,929 is: 219,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,664 : 141,929 = 141,929 : x
  2. Step 2: Convert to fraction form
    91,664/141,929 = 141,929/x
  3. Step 3: Cross multiply
    91,664x = 141,929 × 141,929
  4. Step 4: Simplify right side
    91,664x = 20,143,841,041
  5. Step 5: Solve for x
    x = 20,143,841,041/91,664
  6. Step 6: Final answer
    x = 219,757.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.