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Finding the Third Proportional to 45,312 and 67,968

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Solution

The third proportional to 45,312 and 67,968 is: 101,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 67,968 = 67,968 : x
  2. Step 2: Convert to fraction form
    45,312/67,968 = 67,968/x
  3. Step 3: Cross multiply
    45,312x = 67,968 × 67,968
  4. Step 4: Simplify right side
    45,312x = 4,619,649,024
  5. Step 5: Solve for x
    x = 4,619,649,024/45,312
  6. Step 6: Final answer
    x = 101,952

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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.