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Finding the Third Proportional to 53,869 and 92,630

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Solution

The third proportional to 53,869 and 92,630 is: 159,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,869 : 92,630 = 92,630 : x
  2. Step 2: Convert to fraction form
    53,869/92,630 = 92,630/x
  3. Step 3: Cross multiply
    53,869x = 92,630 × 92,630
  4. Step 4: Simplify right side
    53,869x = 8,580,316,900
  5. Step 5: Solve for x
    x = 8,580,316,900/53,869
  6. Step 6: Final answer
    x = 159,281.16

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.