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Finding the Third Proportional to 56,824 and 89,141

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Solution

The third proportional to 56,824 and 89,141 is: 139,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,824 : 89,141 = 89,141 : x
  2. Step 2: Convert to fraction form
    56,824/89,141 = 89,141/x
  3. Step 3: Cross multiply
    56,824x = 89,141 × 89,141
  4. Step 4: Simplify right side
    56,824x = 7,946,117,881
  5. Step 5: Solve for x
    x = 7,946,117,881/56,824
  6. Step 6: Final answer
    x = 139,837.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.