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Finding the Third Proportional to 54,461 and 84,153

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Solution

The third proportional to 54,461 and 84,153 is: 130,033.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,461 : 84,153 = 84,153 : x
  2. Step 2: Convert to fraction form
    54,461/84,153 = 84,153/x
  3. Step 3: Cross multiply
    54,461x = 84,153 × 84,153
  4. Step 4: Simplify right side
    54,461x = 7,081,727,409
  5. Step 5: Solve for x
    x = 7,081,727,409/54,461
  6. Step 6: Final answer
    x = 130,033.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.