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Finding the Third Proportional to 106,062 and 155,527.50

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Solution

The third proportional to 106,062 and 155,527.50 is: 228,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,062 : 155,527.50 = 155,527.50 : x
  2. Step 2: Convert to fraction form
    106,062/155,527.50 = 155,527.50/x
  3. Step 3: Cross multiply
    106,062x = 155,527.50 × 155,527.50
  4. Step 4: Simplify right side
    106,062x = 24,188,803,256.25
  5. Step 5: Solve for x
    x = 24,188,803,256.25/106,062
  6. Step 6: Final answer
    x = 228,062.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.