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Finding the Third Proportional to 54,506 and 84,671

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Solution

The third proportional to 54,506 and 84,671 is: 131,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,506 : 84,671 = 84,671 : x
  2. Step 2: Convert to fraction form
    54,506/84,671 = 84,671/x
  3. Step 3: Cross multiply
    54,506x = 84,671 × 84,671
  4. Step 4: Simplify right side
    54,506x = 7,169,178,241
  5. Step 5: Solve for x
    x = 7,169,178,241/54,506
  6. Step 6: Final answer
    x = 131,530.07

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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.