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Finding the Third Proportional to 99,012 and 134,527.50

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Solution

The third proportional to 99,012 and 134,527.50 is: 182,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,012 : 134,527.50 = 134,527.50 : x
  2. Step 2: Convert to fraction form
    99,012/134,527.50 = 134,527.50/x
  3. Step 3: Cross multiply
    99,012x = 134,527.50 × 134,527.50
  4. Step 4: Simplify right side
    99,012x = 18,097,648,256.25
  5. Step 5: Solve for x
    x = 18,097,648,256.25/99,012
  6. Step 6: Final answer
    x = 182,782.37

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.