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Finding the Third Proportional to 46,144 and 72,495

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Solution

The third proportional to 46,144 and 72,495 is: 113,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,144 : 72,495 = 72,495 : x
  2. Step 2: Convert to fraction form
    46,144/72,495 = 72,495/x
  3. Step 3: Cross multiply
    46,144x = 72,495 × 72,495
  4. Step 4: Simplify right side
    46,144x = 5,255,525,025
  5. Step 5: Solve for x
    x = 5,255,525,025/46,144
  6. Step 6: Final answer
    x = 113,894.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.