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Finding the Third Proportional to 61,396 and 93,878

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Solution

The third proportional to 61,396 and 93,878 is: 143,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,396 : 93,878 = 93,878 : x
  2. Step 2: Convert to fraction form
    61,396/93,878 = 93,878/x
  3. Step 3: Cross multiply
    61,396x = 93,878 × 93,878
  4. Step 4: Simplify right side
    61,396x = 8,813,078,884
  5. Step 5: Solve for x
    x = 8,813,078,884/61,396
  6. Step 6: Final answer
    x = 143,544.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.