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Finding the Third Proportional to 98,201 and 147,261

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Solution

The third proportional to 98,201 and 147,261 is: 220,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,201 : 147,261 = 147,261 : x
  2. Step 2: Convert to fraction form
    98,201/147,261 = 147,261/x
  3. Step 3: Cross multiply
    98,201x = 147,261 × 147,261
  4. Step 4: Simplify right side
    98,201x = 21,685,802,121
  5. Step 5: Solve for x
    x = 21,685,802,121/98,201
  6. Step 6: Final answer
    x = 220,830.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.