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Finding the Third Proportional to 57,522 and 84,348

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Solution

The third proportional to 57,522 and 84,348 is: 123,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,522 : 84,348 = 84,348 : x
  2. Step 2: Convert to fraction form
    57,522/84,348 = 84,348/x
  3. Step 3: Cross multiply
    57,522x = 84,348 × 84,348
  4. Step 4: Simplify right side
    57,522x = 7,114,585,104
  5. Step 5: Solve for x
    x = 7,114,585,104/57,522
  6. Step 6: Final answer
    x = 123,684.59

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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.