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Finding the Third Proportional to 84,064 and 130,164

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Solution

The third proportional to 84,064 and 130,164 is: 201,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,064 : 130,164 = 130,164 : x
  2. Step 2: Convert to fraction form
    84,064/130,164 = 130,164/x
  3. Step 3: Cross multiply
    84,064x = 130,164 × 130,164
  4. Step 4: Simplify right side
    84,064x = 16,942,666,896
  5. Step 5: Solve for x
    x = 16,942,666,896/84,064
  6. Step 6: Final answer
    x = 201,544.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.