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Finding the Third Proportional to 55,971 and 84,498

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Solution

The third proportional to 55,971 and 84,498 is: 127,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,971 : 84,498 = 84,498 : x
  2. Step 2: Convert to fraction form
    55,971/84,498 = 84,498/x
  3. Step 3: Cross multiply
    55,971x = 84,498 × 84,498
  4. Step 4: Simplify right side
    55,971x = 7,139,912,004
  5. Step 5: Solve for x
    x = 7,139,912,004/55,971
  6. Step 6: Final answer
    x = 127,564.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.