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Finding the Third Proportional to 54,213 and 130,596

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Solution

The third proportional to 54,213 and 130,596 is: 314,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,213 : 130,596 = 130,596 : x
  2. Step 2: Convert to fraction form
    54,213/130,596 = 130,596/x
  3. Step 3: Cross multiply
    54,213x = 130,596 × 130,596
  4. Step 4: Simplify right side
    54,213x = 17,055,315,216
  5. Step 5: Solve for x
    x = 17,055,315,216/54,213
  6. Step 6: Final answer
    x = 314,598.26

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.