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Finding the Third Proportional to 54,210 and 86,334

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Solution

The third proportional to 54,210 and 86,334 is: 137,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,210 : 86,334 = 86,334 : x
  2. Step 2: Convert to fraction form
    54,210/86,334 = 86,334/x
  3. Step 3: Cross multiply
    54,210x = 86,334 × 86,334
  4. Step 4: Simplify right side
    54,210x = 7,453,559,556
  5. Step 5: Solve for x
    x = 7,453,559,556/54,210
  6. Step 6: Final answer
    x = 137,494.18

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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.