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Finding the Third Proportional to 64,034 and 93,975

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Solution

The third proportional to 64,034 and 93,975 is: 137,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,034 : 93,975 = 93,975 : x
  2. Step 2: Convert to fraction form
    64,034/93,975 = 93,975/x
  3. Step 3: Cross multiply
    64,034x = 93,975 × 93,975
  4. Step 4: Simplify right side
    64,034x = 8,831,300,625
  5. Step 5: Solve for x
    x = 8,831,300,625/64,034
  6. Step 6: Final answer
    x = 137,915.80

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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.