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Finding the Third Proportional to 59,129 and 70,064

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Solution

The third proportional to 59,129 and 70,064 is: 83,021.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,129 : 70,064 = 70,064 : x
  2. Step 2: Convert to fraction form
    59,129/70,064 = 70,064/x
  3. Step 3: Cross multiply
    59,129x = 70,064 × 70,064
  4. Step 4: Simplify right side
    59,129x = 4,908,964,096
  5. Step 5: Solve for x
    x = 4,908,964,096/59,129
  6. Step 6: Final answer
    x = 83,021.26

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.