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Finding the Third Proportional to 121,840.88 and 181,750.50

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Solution

The third proportional to 121,840.88 and 181,750.50 is: 271,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,840.88 : 181,750.50 = 181,750.50 : x
  2. Step 2: Convert to fraction form
    121,840.88/181,750.50 = 181,750.50/x
  3. Step 3: Cross multiply
    121,840.88x = 181,750.50 × 181,750.50
  4. Step 4: Simplify right side
    121,840.88x = 33,033,244,250.25
  5. Step 5: Solve for x
    x = 33,033,244,250.25/121,840.88
  6. Step 6: Final answer
    x = 271,117.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.