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Finding the Third Proportional to 84,008 and 174,160

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Solution

The third proportional to 84,008 and 174,160 is: 361,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,008 : 174,160 = 174,160 : x
  2. Step 2: Convert to fraction form
    84,008/174,160 = 174,160/x
  3. Step 3: Cross multiply
    84,008x = 174,160 × 174,160
  4. Step 4: Simplify right side
    84,008x = 30,331,705,600
  5. Step 5: Solve for x
    x = 30,331,705,600/84,008
  6. Step 6: Final answer
    x = 361,057.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.