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Finding the Third Proportional to 70,714 and 102,265

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Solution

The third proportional to 70,714 and 102,265 is: 147,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,714 : 102,265 = 102,265 : x
  2. Step 2: Convert to fraction form
    70,714/102,265 = 102,265/x
  3. Step 3: Cross multiply
    70,714x = 102,265 × 102,265
  4. Step 4: Simplify right side
    70,714x = 10,458,130,225
  5. Step 5: Solve for x
    x = 10,458,130,225/70,714
  6. Step 6: Final answer
    x = 147,893.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.