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Finding the Third Proportional to 75,064 and 105,582

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Solution

The third proportional to 75,064 and 105,582 is: 148,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,064 : 105,582 = 105,582 : x
  2. Step 2: Convert to fraction form
    75,064/105,582 = 105,582/x
  3. Step 3: Cross multiply
    75,064x = 105,582 × 105,582
  4. Step 4: Simplify right side
    75,064x = 11,147,558,724
  5. Step 5: Solve for x
    x = 11,147,558,724/75,064
  6. Step 6: Final answer
    x = 148,507.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.