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Finding the Third Proportional to 67,064 and 99,436

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Solution

The third proportional to 67,064 and 99,436 is: 147,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,064 : 99,436 = 99,436 : x
  2. Step 2: Convert to fraction form
    67,064/99,436 = 99,436/x
  3. Step 3: Cross multiply
    67,064x = 99,436 × 99,436
  4. Step 4: Simplify right side
    67,064x = 9,887,518,096
  5. Step 5: Solve for x
    x = 9,887,518,096/67,064
  6. Step 6: Final answer
    x = 147,434.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.