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Finding the Third Proportional to 47,283.75 and 72,160.88

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Solution

The third proportional to 47,283.75 and 72,160.88 is: 110,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,283.75 : 72,160.88 = 72,160.88 : x
  2. Step 2: Convert to fraction form
    47,283.75/72,160.88 = 72,160.88/x
  3. Step 3: Cross multiply
    47,283.75x = 72,160.88 × 72,160.88
  4. Step 4: Simplify right side
    47,283.75x = 5,207,191,880.77
  5. Step 5: Solve for x
    x = 5,207,191,880.77/47,283.75
  6. Step 6: Final answer
    x = 110,126.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.