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Finding the Third Proportional to 55,992 and 87,397.50

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Solution

The third proportional to 55,992 and 87,397.50 is: 136,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,992 : 87,397.50 = 87,397.50 : x
  2. Step 2: Convert to fraction form
    55,992/87,397.50 = 87,397.50/x
  3. Step 3: Cross multiply
    55,992x = 87,397.50 × 87,397.50
  4. Step 4: Simplify right side
    55,992x = 7,638,323,006.25
  5. Step 5: Solve for x
    x = 7,638,323,006.25/55,992
  6. Step 6: Final answer
    x = 136,418.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.