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Finding the Third Proportional to 59,012 and 129,064

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Solution

The third proportional to 59,012 and 129,064 is: 282,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,012 : 129,064 = 129,064 : x
  2. Step 2: Convert to fraction form
    59,012/129,064 = 129,064/x
  3. Step 3: Cross multiply
    59,012x = 129,064 × 129,064
  4. Step 4: Simplify right side
    59,012x = 16,657,516,096
  5. Step 5: Solve for x
    x = 16,657,516,096/59,012
  6. Step 6: Final answer
    x = 282,273.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.