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Finding the Third Proportional to 91,209 and 145,705

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Solution

The third proportional to 91,209 and 145,705 is: 232,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,209 : 145,705 = 145,705 : x
  2. Step 2: Convert to fraction form
    91,209/145,705 = 145,705/x
  3. Step 3: Cross multiply
    91,209x = 145,705 × 145,705
  4. Step 4: Simplify right side
    91,209x = 21,229,947,025
  5. Step 5: Solve for x
    x = 21,229,947,025/91,209
  6. Step 6: Final answer
    x = 232,761.54

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.