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Finding the Third Proportional to 121,341 and 183,709.50

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Solution

The third proportional to 121,341 and 183,709.50 is: 278,135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,341 : 183,709.50 = 183,709.50 : x
  2. Step 2: Convert to fraction form
    121,341/183,709.50 = 183,709.50/x
  3. Step 3: Cross multiply
    121,341x = 183,709.50 × 183,709.50
  4. Step 4: Simplify right side
    121,341x = 33,749,180,390.25
  5. Step 5: Solve for x
    x = 33,749,180,390.25/121,341
  6. Step 6: Final answer
    x = 278,135.01

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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.