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Finding the Third Proportional to 124,983 and 269,952.75

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Solution

The third proportional to 124,983 and 269,952.75 is: 583,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,983 : 269,952.75 = 269,952.75 : x
  2. Step 2: Convert to fraction form
    124,983/269,952.75 = 269,952.75/x
  3. Step 3: Cross multiply
    124,983x = 269,952.75 × 269,952.75
  4. Step 4: Simplify right side
    124,983x = 72,874,487,232.56
  5. Step 5: Solve for x
    x = 72,874,487,232.56/124,983
  6. Step 6: Final answer
    x = 583,075.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.