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Finding the Third Proportional to 93,881 and 141,619

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Solution

The third proportional to 93,881 and 141,619 is: 213,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,881 : 141,619 = 141,619 : x
  2. Step 2: Convert to fraction form
    93,881/141,619 = 141,619/x
  3. Step 3: Cross multiply
    93,881x = 141,619 × 141,619
  4. Step 4: Simplify right side
    93,881x = 20,055,941,161
  5. Step 5: Solve for x
    x = 20,055,941,161/93,881
  6. Step 6: Final answer
    x = 213,631.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.