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Finding the Third Proportional to 47,316 and 82,968

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Solution

The third proportional to 47,316 and 82,968 is: 145,483.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,316 : 82,968 = 82,968 : x
  2. Step 2: Convert to fraction form
    47,316/82,968 = 82,968/x
  3. Step 3: Cross multiply
    47,316x = 82,968 × 82,968
  4. Step 4: Simplify right side
    47,316x = 6,883,689,024
  5. Step 5: Solve for x
    x = 6,883,689,024/47,316
  6. Step 6: Final answer
    x = 145,483.33

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.