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Finding the Third Proportional to 62,983 and 88,054

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Solution

The third proportional to 62,983 and 88,054 is: 123,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,983 : 88,054 = 88,054 : x
  2. Step 2: Convert to fraction form
    62,983/88,054 = 88,054/x
  3. Step 3: Cross multiply
    62,983x = 88,054 × 88,054
  4. Step 4: Simplify right side
    62,983x = 7,753,506,916
  5. Step 5: Solve for x
    x = 7,753,506,916/62,983
  6. Step 6: Final answer
    x = 123,104.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.