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Finding the Third Proportional to 56,994 and 88,475

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Solution

The third proportional to 56,994 and 88,475 is: 137,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,994 : 88,475 = 88,475 : x
  2. Step 2: Convert to fraction form
    56,994/88,475 = 88,475/x
  3. Step 3: Cross multiply
    56,994x = 88,475 × 88,475
  4. Step 4: Simplify right side
    56,994x = 7,827,825,625
  5. Step 5: Solve for x
    x = 7,827,825,625/56,994
  6. Step 6: Final answer
    x = 137,344.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.