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Finding the Third Proportional to 46,660 and 70,376

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Solution

The third proportional to 46,660 and 70,376 is: 106,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,660 : 70,376 = 70,376 : x
  2. Step 2: Convert to fraction form
    46,660/70,376 = 70,376/x
  3. Step 3: Cross multiply
    46,660x = 70,376 × 70,376
  4. Step 4: Simplify right side
    46,660x = 4,952,781,376
  5. Step 5: Solve for x
    x = 4,952,781,376/46,660
  6. Step 6: Final answer
    x = 106,146.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.