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Finding the Third Proportional to 124,490 and 273,168

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Solution

The third proportional to 124,490 and 273,168 is: 599,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,490 : 273,168 = 273,168 : x
  2. Step 2: Convert to fraction form
    124,490/273,168 = 273,168/x
  3. Step 3: Cross multiply
    124,490x = 273,168 × 273,168
  4. Step 4: Simplify right side
    124,490x = 74,620,756,224
  5. Step 5: Solve for x
    x = 74,620,756,224/124,490
  6. Step 6: Final answer
    x = 599,411.65

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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.