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Finding the Third Proportional to 90,792 and 141,158

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Solution

The third proportional to 90,792 and 141,158 is: 219,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,792 : 141,158 = 141,158 : x
  2. Step 2: Convert to fraction form
    90,792/141,158 = 141,158/x
  3. Step 3: Cross multiply
    90,792x = 141,158 × 141,158
  4. Step 4: Simplify right side
    90,792x = 19,925,580,964
  5. Step 5: Solve for x
    x = 19,925,580,964/90,792
  6. Step 6: Final answer
    x = 219,464.06

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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.