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Finding the Third Proportional to 46,053 and 96,277

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Solution

The third proportional to 46,053 and 96,277 is: 201,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,053 : 96,277 = 96,277 : x
  2. Step 2: Convert to fraction form
    46,053/96,277 = 96,277/x
  3. Step 3: Cross multiply
    46,053x = 96,277 × 96,277
  4. Step 4: Simplify right side
    46,053x = 9,269,260,729
  5. Step 5: Solve for x
    x = 9,269,260,729/46,053
  6. Step 6: Final answer
    x = 201,273.77

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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.