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Finding the Third Proportional to 94,648.50 and 141,152.63

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Solution

The third proportional to 94,648.50 and 141,152.63 is: 210,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,648.50 : 141,152.63 = 141,152.63 : x
  2. Step 2: Convert to fraction form
    94,648.50/141,152.63 = 141,152.63/x
  3. Step 3: Cross multiply
    94,648.50x = 141,152.63 × 141,152.63
  4. Step 4: Simplify right side
    94,648.50x = 19,924,063,544.39
  5. Step 5: Solve for x
    x = 19,924,063,544.39/94,648.50
  6. Step 6: Final answer
    x = 210,505.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.