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Finding the Third Proportional to 48,213 and 98,774

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Solution

The third proportional to 48,213 and 98,774 is: 202,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,213 : 98,774 = 98,774 : x
  2. Step 2: Convert to fraction form
    48,213/98,774 = 98,774/x
  3. Step 3: Cross multiply
    48,213x = 98,774 × 98,774
  4. Step 4: Simplify right side
    48,213x = 9,756,303,076
  5. Step 5: Solve for x
    x = 9,756,303,076/48,213
  6. Step 6: Final answer
    x = 202,358.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.