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Finding the Third Proportional to 121,200.05 and 162,111.38

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Solution

The third proportional to 121,200.05 and 162,111.38 is: 216,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,200.05 : 162,111.38 = 162,111.38 : x
  2. Step 2: Convert to fraction form
    121,200.05/162,111.38 = 162,111.38/x
  3. Step 3: Cross multiply
    121,200.05x = 162,111.38 × 162,111.38
  4. Step 4: Simplify right side
    121,200.05x = 26,280,097,904.39
  5. Step 5: Solve for x
    x = 26,280,097,904.39/121,200.05
  6. Step 6: Final answer
    x = 216,832.41

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.