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Finding the Third Proportional to 96,933 and 130,933.50

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Solution

The third proportional to 96,933 and 130,933.50 is: 176,860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,933 : 130,933.50 = 130,933.50 : x
  2. Step 2: Convert to fraction form
    96,933/130,933.50 = 130,933.50/x
  3. Step 3: Cross multiply
    96,933x = 130,933.50 × 130,933.50
  4. Step 4: Simplify right side
    96,933x = 17,143,581,422.25
  5. Step 5: Solve for x
    x = 17,143,581,422.25/96,933
  6. Step 6: Final answer
    x = 176,860.11

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.