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Finding the Third Proportional to 57,465 and 119,844

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Solution

The third proportional to 57,465 and 119,844 is: 249,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465 : 119,844 = 119,844 : x
  2. Step 2: Convert to fraction form
    57,465/119,844 = 119,844/x
  3. Step 3: Cross multiply
    57,465x = 119,844 × 119,844
  4. Step 4: Simplify right side
    57,465x = 14,362,584,336
  5. Step 5: Solve for x
    x = 14,362,584,336/57,465
  6. Step 6: Final answer
    x = 249,936.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.