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Finding the Third Proportional to 57,412 and 84,417

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Solution

The third proportional to 57,412 and 84,417 is: 124,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412 : 84,417 = 84,417 : x
  2. Step 2: Convert to fraction form
    57,412/84,417 = 84,417/x
  3. Step 3: Cross multiply
    57,412x = 84,417 × 84,417
  4. Step 4: Simplify right side
    57,412x = 7,126,229,889
  5. Step 5: Solve for x
    x = 7,126,229,889/57,412
  6. Step 6: Final answer
    x = 124,124.40

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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.