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Finding the Third Proportional to 54,786 and 84,594

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Solution

The third proportional to 54,786 and 84,594 is: 130,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,786 : 84,594 = 84,594 : x
  2. Step 2: Convert to fraction form
    54,786/84,594 = 84,594/x
  3. Step 3: Cross multiply
    54,786x = 84,594 × 84,594
  4. Step 4: Simplify right side
    54,786x = 7,156,144,836
  5. Step 5: Solve for x
    x = 7,156,144,836/54,786
  6. Step 6: Final answer
    x = 130,619.95

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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.