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Finding the Third Proportional to 48,176 and 70,968

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Solution

The third proportional to 48,176 and 70,968 is: 104,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,176 : 70,968 = 70,968 : x
  2. Step 2: Convert to fraction form
    48,176/70,968 = 70,968/x
  3. Step 3: Cross multiply
    48,176x = 70,968 × 70,968
  4. Step 4: Simplify right side
    48,176x = 5,036,457,024
  5. Step 5: Solve for x
    x = 5,036,457,024/48,176
  6. Step 6: Final answer
    x = 104,542.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.