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Finding the Third Proportional to 60,629.50 and 91,783

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Solution

The third proportional to 60,629.50 and 91,783 is: 138,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,629.50 : 91,783 = 91,783 : x
  2. Step 2: Convert to fraction form
    60,629.50/91,783 = 91,783/x
  3. Step 3: Cross multiply
    60,629.50x = 91,783 × 91,783
  4. Step 4: Simplify right side
    60,629.50x = 8,424,119,089
  5. Step 5: Solve for x
    x = 8,424,119,089/60,629.50
  6. Step 6: Final answer
    x = 138,944.23

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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.