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Finding the Third Proportional to 49,046 and 107,584

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Solution

The third proportional to 49,046 and 107,584 is: 235,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,046 : 107,584 = 107,584 : x
  2. Step 2: Convert to fraction form
    49,046/107,584 = 107,584/x
  3. Step 3: Cross multiply
    49,046x = 107,584 × 107,584
  4. Step 4: Simplify right side
    49,046x = 11,574,317,056
  5. Step 5: Solve for x
    x = 11,574,317,056/49,046
  6. Step 6: Final answer
    x = 235,989.01

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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.