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Finding the Third Proportional to 64,290 and 141,034.50

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Solution

The third proportional to 64,290 and 141,034.50 is: 309,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,290 : 141,034.50 = 141,034.50 : x
  2. Step 2: Convert to fraction form
    64,290/141,034.50 = 141,034.50/x
  3. Step 3: Cross multiply
    64,290x = 141,034.50 × 141,034.50
  4. Step 4: Simplify right side
    64,290x = 19,890,730,190.25
  5. Step 5: Solve for x
    x = 19,890,730,190.25/64,290
  6. Step 6: Final answer
    x = 309,390.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.