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Finding the Third Proportional to 74,046 and 105,529

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Solution

The third proportional to 74,046 and 105,529 is: 150,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,046 : 105,529 = 105,529 : x
  2. Step 2: Convert to fraction form
    74,046/105,529 = 105,529/x
  3. Step 3: Cross multiply
    74,046x = 105,529 × 105,529
  4. Step 4: Simplify right side
    74,046x = 11,136,369,841
  5. Step 5: Solve for x
    x = 11,136,369,841/74,046
  6. Step 6: Final answer
    x = 150,397.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.