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Finding the Third Proportional to 54,621 and 84,348

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Solution

The third proportional to 54,621 and 84,348 is: 130,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,621 : 84,348 = 84,348 : x
  2. Step 2: Convert to fraction form
    54,621/84,348 = 84,348/x
  3. Step 3: Cross multiply
    54,621x = 84,348 × 84,348
  4. Step 4: Simplify right side
    54,621x = 7,114,585,104
  5. Step 5: Solve for x
    x = 7,114,585,104/54,621
  6. Step 6: Final answer
    x = 130,253.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.