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Finding the Third Proportional to 98,649 and 154,585

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Solution

The third proportional to 98,649 and 154,585 is: 242,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,649 : 154,585 = 154,585 : x
  2. Step 2: Convert to fraction form
    98,649/154,585 = 154,585/x
  3. Step 3: Cross multiply
    98,649x = 154,585 × 154,585
  4. Step 4: Simplify right side
    98,649x = 23,896,522,225
  5. Step 5: Solve for x
    x = 23,896,522,225/98,649
  6. Step 6: Final answer
    x = 242,237.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.