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Finding the Third Proportional to 66,783.75 and 104,005.13

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Solution

The third proportional to 66,783.75 and 104,005.13 is: 161,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,783.75 : 104,005.13 = 104,005.13 : x
  2. Step 2: Convert to fraction form
    66,783.75/104,005.13 = 104,005.13/x
  3. Step 3: Cross multiply
    66,783.75x = 104,005.13 × 104,005.13
  4. Step 4: Simplify right side
    66,783.75x = 10,817,066,026.27
  5. Step 5: Solve for x
    x = 10,817,066,026.27/66,783.75
  6. Step 6: Final answer
    x = 161,971.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.