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Finding the Third Proportional to 76,107 and 164,409.50

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Solution

The third proportional to 76,107 and 164,409.50 is: 355,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,107 : 164,409.50 = 164,409.50 : x
  2. Step 2: Convert to fraction form
    76,107/164,409.50 = 164,409.50/x
  3. Step 3: Cross multiply
    76,107x = 164,409.50 × 164,409.50
  4. Step 4: Simplify right side
    76,107x = 27,030,483,690.25
  5. Step 5: Solve for x
    x = 27,030,483,690.25/76,107
  6. Step 6: Final answer
    x = 355,164.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.