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Finding the Third Proportional to 125,075 and 273,506

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Solution

The third proportional to 125,075 and 273,506 is: 598,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,075 : 273,506 = 273,506 : x
  2. Step 2: Convert to fraction form
    125,075/273,506 = 273,506/x
  3. Step 3: Cross multiply
    125,075x = 273,506 × 273,506
  4. Step 4: Simplify right side
    125,075x = 74,805,532,036
  5. Step 5: Solve for x
    x = 74,805,532,036/125,075
  6. Step 6: Final answer
    x = 598,085.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.