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Finding the Third Proportional to 114,646.50 and 152,903.25

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Solution

The third proportional to 114,646.50 and 152,903.25 is: 203,926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,646.50 : 152,903.25 = 152,903.25 : x
  2. Step 2: Convert to fraction form
    114,646.50/152,903.25 = 152,903.25/x
  3. Step 3: Cross multiply
    114,646.50x = 152,903.25 × 152,903.25
  4. Step 4: Simplify right side
    114,646.50x = 23,379,403,860.56
  5. Step 5: Solve for x
    x = 23,379,403,860.56/114,646.50
  6. Step 6: Final answer
    x = 203,926.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.