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Finding the Third Proportional to 56,494.50 and 83,013

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Solution

The third proportional to 56,494.50 and 83,013 is: 121,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,494.50 : 83,013 = 83,013 : x
  2. Step 2: Convert to fraction form
    56,494.50/83,013 = 83,013/x
  3. Step 3: Cross multiply
    56,494.50x = 83,013 × 83,013
  4. Step 4: Simplify right side
    56,494.50x = 6,891,158,169
  5. Step 5: Solve for x
    x = 6,891,158,169/56,494.50
  6. Step 6: Final answer
    x = 121,979.28

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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.