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Finding the Third Proportional to 46,758 and 101,440

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Solution

The third proportional to 46,758 and 101,440 is: 220,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,758 : 101,440 = 101,440 : x
  2. Step 2: Convert to fraction form
    46,758/101,440 = 101,440/x
  3. Step 3: Cross multiply
    46,758x = 101,440 × 101,440
  4. Step 4: Simplify right side
    46,758x = 10,290,073,600
  5. Step 5: Solve for x
    x = 10,290,073,600/46,758
  6. Step 6: Final answer
    x = 220,070.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.