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Finding the Third Proportional to 46,301 and 70,097

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Solution

The third proportional to 46,301 and 70,097 is: 106,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,301 : 70,097 = 70,097 : x
  2. Step 2: Convert to fraction form
    46,301/70,097 = 70,097/x
  3. Step 3: Cross multiply
    46,301x = 70,097 × 70,097
  4. Step 4: Simplify right side
    46,301x = 4,913,589,409
  5. Step 5: Solve for x
    x = 4,913,589,409/46,301
  6. Step 6: Final answer
    x = 106,122.75

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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.