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Finding the Third Proportional to 94,970 and 140,991

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Solution

The third proportional to 94,970 and 140,991 is: 209,313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,970 : 140,991 = 140,991 : x
  2. Step 2: Convert to fraction form
    94,970/140,991 = 140,991/x
  3. Step 3: Cross multiply
    94,970x = 140,991 × 140,991
  4. Step 4: Simplify right side
    94,970x = 19,878,462,081
  5. Step 5: Solve for x
    x = 19,878,462,081/94,970
  6. Step 6: Final answer
    x = 209,313.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.