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Finding the Third Proportional to 81,070 and 174,136

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Solution

The third proportional to 81,070 and 174,136 is: 374,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,070 : 174,136 = 174,136 : x
  2. Step 2: Convert to fraction form
    81,070/174,136 = 174,136/x
  3. Step 3: Cross multiply
    81,070x = 174,136 × 174,136
  4. Step 4: Simplify right side
    81,070x = 30,323,346,496
  5. Step 5: Solve for x
    x = 30,323,346,496/81,070
  6. Step 6: Final answer
    x = 374,039.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.