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Finding the Third Proportional to 84,418 and 130,673

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Solution

The third proportional to 84,418 and 130,673 is: 202,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,418 : 130,673 = 130,673 : x
  2. Step 2: Convert to fraction form
    84,418/130,673 = 130,673/x
  3. Step 3: Cross multiply
    84,418x = 130,673 × 130,673
  4. Step 4: Simplify right side
    84,418x = 17,075,432,929
  5. Step 5: Solve for x
    x = 17,075,432,929/84,418
  6. Step 6: Final answer
    x = 202,272.42

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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.