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Finding the Third Proportional to 46,140 and 72,285

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Solution

The third proportional to 46,140 and 72,285 is: 113,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,140 : 72,285 = 72,285 : x
  2. Step 2: Convert to fraction form
    46,140/72,285 = 72,285/x
  3. Step 3: Cross multiply
    46,140x = 72,285 × 72,285
  4. Step 4: Simplify right side
    46,140x = 5,225,121,225
  5. Step 5: Solve for x
    x = 5,225,121,225/46,140
  6. Step 6: Final answer
    x = 113,244.93

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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.