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Finding the Third Proportional to 56,532.94 and 83,113.59

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Solution

The third proportional to 56,532.94 and 83,113.59 is: 122,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,532.94 : 83,113.59 = 83,113.59 : x
  2. Step 2: Convert to fraction form
    56,532.94/83,113.59 = 83,113.59/x
  3. Step 3: Cross multiply
    56,532.94x = 83,113.59 × 83,113.59
  4. Step 4: Simplify right side
    56,532.94x = 6,907,869,466.04
  5. Step 5: Solve for x
    x = 6,907,869,466.04/56,532.94
  6. Step 6: Final answer
    x = 122,191.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.