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Finding the Third Proportional to 98,828 and 144,948

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Solution

The third proportional to 98,828 and 144,948 is: 212,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,828 : 144,948 = 144,948 : x
  2. Step 2: Convert to fraction form
    98,828/144,948 = 144,948/x
  3. Step 3: Cross multiply
    98,828x = 144,948 × 144,948
  4. Step 4: Simplify right side
    98,828x = 21,009,922,704
  5. Step 5: Solve for x
    x = 21,009,922,704/98,828
  6. Step 6: Final answer
    x = 212,590.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.