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Finding the Third Proportional to 59,994 and 91,206

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Solution

The third proportional to 59,994 and 91,206 is: 138,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,994 : 91,206 = 91,206 : x
  2. Step 2: Convert to fraction form
    59,994/91,206 = 91,206/x
  3. Step 3: Cross multiply
    59,994x = 91,206 × 91,206
  4. Step 4: Simplify right side
    59,994x = 8,318,534,436
  5. Step 5: Solve for x
    x = 8,318,534,436/59,994
  6. Step 6: Final answer
    x = 138,656.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.