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Finding the Third Proportional to 58,502 and 92,994

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Solution

The third proportional to 58,502 and 92,994 is: 147,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,502 : 92,994 = 92,994 : x
  2. Step 2: Convert to fraction form
    58,502/92,994 = 92,994/x
  3. Step 3: Cross multiply
    58,502x = 92,994 × 92,994
  4. Step 4: Simplify right side
    58,502x = 8,647,884,036
  5. Step 5: Solve for x
    x = 8,647,884,036/58,502
  6. Step 6: Final answer
    x = 147,822.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.