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Finding the Third Proportional to 98,538 and 147,159

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Solution

The third proportional to 98,538 and 147,159 is: 219,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,538 : 147,159 = 147,159 : x
  2. Step 2: Convert to fraction form
    98,538/147,159 = 147,159/x
  3. Step 3: Cross multiply
    98,538x = 147,159 × 147,159
  4. Step 4: Simplify right side
    98,538x = 21,655,771,281
  5. Step 5: Solve for x
    x = 21,655,771,281/98,538
  6. Step 6: Final answer
    x = 219,770.76

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