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Finding the Third Proportional to 98,658 and 147,405

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Solution

The third proportional to 98,658 and 147,405 is: 220,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,658 : 147,405 = 147,405 : x
  2. Step 2: Convert to fraction form
    98,658/147,405 = 147,405/x
  3. Step 3: Cross multiply
    98,658x = 147,405 × 147,405
  4. Step 4: Simplify right side
    98,658x = 21,728,234,025
  5. Step 5: Solve for x
    x = 21,728,234,025/98,658
  6. Step 6: Final answer
    x = 220,237.93

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Why These Related Problems?

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