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Finding the Third Proportional to 46,470 and 70,138

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Solution

The third proportional to 46,470 and 70,138 is: 105,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,470 : 70,138 = 70,138 : x
  2. Step 2: Convert to fraction form
    46,470/70,138 = 70,138/x
  3. Step 3: Cross multiply
    46,470x = 70,138 × 70,138
  4. Step 4: Simplify right side
    46,470x = 4,919,339,044
  5. Step 5: Solve for x
    x = 4,919,339,044/46,470
  6. Step 6: Final answer
    x = 105,860.53

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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.