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Finding the Third Proportional to 121,393.69 and 183,783.94

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Solution

The third proportional to 121,393.69 and 183,783.94 is: 278,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,393.69 : 183,783.94 = 183,783.94 : x
  2. Step 2: Convert to fraction form
    121,393.69/183,783.94 = 183,783.94/x
  3. Step 3: Cross multiply
    121,393.69x = 183,783.94 × 183,783.94
  4. Step 4: Simplify right side
    121,393.69x = 33,776,535,683.00
  5. Step 5: Solve for x
    x = 33,776,535,683.00/121,393.69
  6. Step 6: Final answer
    x = 278,239.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.