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Finding the Third Proportional to 56,969 and 90,091

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Solution

The third proportional to 56,969 and 90,091 is: 142,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,969 : 90,091 = 90,091 : x
  2. Step 2: Convert to fraction form
    56,969/90,091 = 90,091/x
  3. Step 3: Cross multiply
    56,969x = 90,091 × 90,091
  4. Step 4: Simplify right side
    56,969x = 8,116,388,281
  5. Step 5: Solve for x
    x = 8,116,388,281/56,969
  6. Step 6: Final answer
    x = 142,470.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.