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Finding the Third Proportional to 98,812 and 147,946

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Solution

The third proportional to 98,812 and 147,946 is: 221,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,812 : 147,946 = 147,946 : x
  2. Step 2: Convert to fraction form
    98,812/147,946 = 147,946/x
  3. Step 3: Cross multiply
    98,812x = 147,946 × 147,946
  4. Step 4: Simplify right side
    98,812x = 21,888,018,916
  5. Step 5: Solve for x
    x = 21,888,018,916/98,812
  6. Step 6: Final answer
    x = 221,511.75

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Why These Related Problems?

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