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Finding the Third Proportional to 55,017 and 74,294

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Solution

The third proportional to 55,017 and 74,294 is: 100,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,017 : 74,294 = 74,294 : x
  2. Step 2: Convert to fraction form
    55,017/74,294 = 74,294/x
  3. Step 3: Cross multiply
    55,017x = 74,294 × 74,294
  4. Step 4: Simplify right side
    55,017x = 5,519,598,436
  5. Step 5: Solve for x
    x = 5,519,598,436/55,017
  6. Step 6: Final answer
    x = 100,325.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.