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Finding the Third Proportional to 95,985 and 108,013.50

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Solution

The third proportional to 95,985 and 108,013.50 is: 121,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,985 : 108,013.50 = 108,013.50 : x
  2. Step 2: Convert to fraction form
    95,985/108,013.50 = 108,013.50/x
  3. Step 3: Cross multiply
    95,985x = 108,013.50 × 108,013.50
  4. Step 4: Simplify right side
    95,985x = 11,666,916,182.25
  5. Step 5: Solve for x
    x = 11,666,916,182.25/95,985
  6. Step 6: Final answer
    x = 121,549.37

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.