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Finding the Third Proportional to 46,160 and 69,168

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Solution

The third proportional to 46,160 and 69,168 is: 103,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,160 : 69,168 = 69,168 : x
  2. Step 2: Convert to fraction form
    46,160/69,168 = 69,168/x
  3. Step 3: Cross multiply
    46,160x = 69,168 × 69,168
  4. Step 4: Simplify right side
    46,160x = 4,784,212,224
  5. Step 5: Solve for x
    x = 4,784,212,224/46,160
  6. Step 6: Final answer
    x = 103,644.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.