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Finding the Third Proportional to 70,490 and 93,975

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Solution

The third proportional to 70,490 and 93,975 is: 125,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,490 : 93,975 = 93,975 : x
  2. Step 2: Convert to fraction form
    70,490/93,975 = 93,975/x
  3. Step 3: Cross multiply
    70,490x = 93,975 × 93,975
  4. Step 4: Simplify right side
    70,490x = 8,831,300,625
  5. Step 5: Solve for x
    x = 8,831,300,625/70,490
  6. Step 6: Final answer
    x = 125,284.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.