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Finding the Third Proportional to 121,345 and 183,715.50

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Solution

The third proportional to 121,345 and 183,715.50 is: 278,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,345 : 183,715.50 = 183,715.50 : x
  2. Step 2: Convert to fraction form
    121,345/183,715.50 = 183,715.50/x
  3. Step 3: Cross multiply
    121,345x = 183,715.50 × 183,715.50
  4. Step 4: Simplify right side
    121,345x = 33,751,384,940.25
  5. Step 5: Solve for x
    x = 33,751,384,940.25/121,345
  6. Step 6: Final answer
    x = 278,144.01

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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.