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Finding the Third Proportional to 46,240 and 70,228

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Solution

The third proportional to 46,240 and 70,228 is: 106,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,240 : 70,228 = 70,228 : x
  2. Step 2: Convert to fraction form
    46,240/70,228 = 70,228/x
  3. Step 3: Cross multiply
    46,240x = 70,228 × 70,228
  4. Step 4: Simplify right side
    46,240x = 4,931,971,984
  5. Step 5: Solve for x
    x = 4,931,971,984/46,240
  6. Step 6: Final answer
    x = 106,660.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.