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Finding the Third Proportional to 54,364 and 86,492

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Solution

The third proportional to 54,364 and 86,492 is: 137,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,364 : 86,492 = 86,492 : x
  2. Step 2: Convert to fraction form
    54,364/86,492 = 86,492/x
  3. Step 3: Cross multiply
    54,364x = 86,492 × 86,492
  4. Step 4: Simplify right side
    54,364x = 7,480,866,064
  5. Step 5: Solve for x
    x = 7,480,866,064/54,364
  6. Step 6: Final answer
    x = 137,606.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.