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Finding the Third Proportional to 42,798 and 88,320

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Solution

The third proportional to 42,798 and 88,320 is: 182,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,798 : 88,320 = 88,320 : x
  2. Step 2: Convert to fraction form
    42,798/88,320 = 88,320/x
  3. Step 3: Cross multiply
    42,798x = 88,320 × 88,320
  4. Step 4: Simplify right side
    42,798x = 7,800,422,400
  5. Step 5: Solve for x
    x = 7,800,422,400/42,798
  6. Step 6: Final answer
    x = 182,261.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.