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Finding the Third Proportional to 102,885.75 and 151,560

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Solution

The third proportional to 102,885.75 and 151,560 is: 223,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,885.75 : 151,560 = 151,560 : x
  2. Step 2: Convert to fraction form
    102,885.75/151,560 = 151,560/x
  3. Step 3: Cross multiply
    102,885.75x = 151,560 × 151,560
  4. Step 4: Simplify right side
    102,885.75x = 22,970,433,600
  5. Step 5: Solve for x
    x = 22,970,433,600/102,885.75
  6. Step 6: Final answer
    x = 223,261.57

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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.