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Finding the Third Proportional to 51,193.13 and 77,505.19

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Solution

The third proportional to 51,193.13 and 77,505.19 is: 117,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,193.13 : 77,505.19 = 77,505.19 : x
  2. Step 2: Convert to fraction form
    51,193.13/77,505.19 = 77,505.19/x
  3. Step 3: Cross multiply
    51,193.13x = 77,505.19 × 77,505.19
  4. Step 4: Simplify right side
    51,193.13x = 6,007,054,089.41
  5. Step 5: Solve for x
    x = 6,007,054,089.41/51,193.13
  6. Step 6: Final answer
    x = 117,341.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.