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Finding the Third Proportional to 55,884 and 84,548.25

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Solution

The third proportional to 55,884 and 84,548.25 is: 127,915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,884 : 84,548.25 = 84,548.25 : x
  2. Step 2: Convert to fraction form
    55,884/84,548.25 = 84,548.25/x
  3. Step 3: Cross multiply
    55,884x = 84,548.25 × 84,548.25
  4. Step 4: Simplify right side
    55,884x = 7,148,406,578.06
  5. Step 5: Solve for x
    x = 7,148,406,578.06/55,884
  6. Step 6: Final answer
    x = 127,915.08

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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.