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Finding the Third Proportional to 56,780 and 119,445.50

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Solution

The third proportional to 56,780 and 119,445.50 is: 251,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,780 : 119,445.50 = 119,445.50 : x
  2. Step 2: Convert to fraction form
    56,780/119,445.50 = 119,445.50/x
  3. Step 3: Cross multiply
    56,780x = 119,445.50 × 119,445.50
  4. Step 4: Simplify right side
    56,780x = 14,267,227,470.25
  5. Step 5: Solve for x
    x = 14,267,227,470.25/56,780
  6. Step 6: Final answer
    x = 251,272.06

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.