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Finding the Third Proportional to 46,066 and 70,910

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Solution

The third proportional to 46,066 and 70,910 is: 109,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,066 : 70,910 = 70,910 : x
  2. Step 2: Convert to fraction form
    46,066/70,910 = 70,910/x
  3. Step 3: Cross multiply
    46,066x = 70,910 × 70,910
  4. Step 4: Simplify right side
    46,066x = 5,028,228,100
  5. Step 5: Solve for x
    x = 5,028,228,100/46,066
  6. Step 6: Final answer
    x = 109,152.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.