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Finding the Third Proportional to 98,226 and 148,155.75

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Solution

The third proportional to 98,226 and 148,155.75 is: 223,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,226 : 148,155.75 = 148,155.75 : x
  2. Step 2: Convert to fraction form
    98,226/148,155.75 = 148,155.75/x
  3. Step 3: Cross multiply
    98,226x = 148,155.75 × 148,155.75
  4. Step 4: Simplify right side
    98,226x = 21,950,126,258.06
  5. Step 5: Solve for x
    x = 21,950,126,258.06/98,226
  6. Step 6: Final answer
    x = 223,465.54

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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.