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Finding the Third Proportional to 44,641 and 92,985

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Solution

The third proportional to 44,641 and 92,985 is: 193,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,641 : 92,985 = 92,985 : x
  2. Step 2: Convert to fraction form
    44,641/92,985 = 92,985/x
  3. Step 3: Cross multiply
    44,641x = 92,985 × 92,985
  4. Step 4: Simplify right side
    44,641x = 8,646,210,225
  5. Step 5: Solve for x
    x = 8,646,210,225/44,641
  6. Step 6: Final answer
    x = 193,683.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.