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Finding the Third Proportional to 94,230 and 148,771.50

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Solution

The third proportional to 94,230 and 148,771.50 is: 234,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,230 : 148,771.50 = 148,771.50 : x
  2. Step 2: Convert to fraction form
    94,230/148,771.50 = 148,771.50/x
  3. Step 3: Cross multiply
    94,230x = 148,771.50 × 148,771.50
  4. Step 4: Simplify right side
    94,230x = 22,132,959,212.25
  5. Step 5: Solve for x
    x = 22,132,959,212.25/94,230
  6. Step 6: Final answer
    x = 234,882.30

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.