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Finding the Third Proportional to 49,113 and 107,784

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Solution

The third proportional to 49,113 and 107,784 is: 236,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,113 : 107,784 = 107,784 : x
  2. Step 2: Convert to fraction form
    49,113/107,784 = 107,784/x
  3. Step 3: Cross multiply
    49,113x = 107,784 × 107,784
  4. Step 4: Simplify right side
    49,113x = 11,617,390,656
  5. Step 5: Solve for x
    x = 11,617,390,656/49,113
  6. Step 6: Final answer
    x = 236,544.11

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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.