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Finding the Third Proportional to 49,592.63 and 117,050.25

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Solution

The third proportional to 49,592.63 and 117,050.25 is: 276,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,592.63 : 117,050.25 = 117,050.25 : x
  2. Step 2: Convert to fraction form
    49,592.63/117,050.25 = 117,050.25/x
  3. Step 3: Cross multiply
    49,592.63x = 117,050.25 × 117,050.25
  4. Step 4: Simplify right side
    49,592.63x = 13,700,761,025.06
  5. Step 5: Solve for x
    x = 13,700,761,025.06/49,592.63
  6. Step 6: Final answer
    x = 276,266.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.