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Finding the Third Proportional to 59,817 and 92,886

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Solution

The third proportional to 59,817 and 92,886 is: 144,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,817 : 92,886 = 92,886 : x
  2. Step 2: Convert to fraction form
    59,817/92,886 = 92,886/x
  3. Step 3: Cross multiply
    59,817x = 92,886 × 92,886
  4. Step 4: Simplify right side
    59,817x = 8,627,808,996
  5. Step 5: Solve for x
    x = 8,627,808,996/59,817
  6. Step 6: Final answer
    x = 144,236.74

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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.