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Finding the Third Proportional to 82,913.63 and 125,064

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Solution

The third proportional to 82,913.63 and 125,064 is: 188,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,913.63 : 125,064 = 125,064 : x
  2. Step 2: Convert to fraction form
    82,913.63/125,064 = 125,064/x
  3. Step 3: Cross multiply
    82,913.63x = 125,064 × 125,064
  4. Step 4: Simplify right side
    82,913.63x = 15,641,004,096
  5. Step 5: Solve for x
    x = 15,641,004,096/82,913.63
  6. Step 6: Final answer
    x = 188,642.15

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