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Finding the Third Proportional to 52,359.86 and 74,029.10

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Solution

The third proportional to 52,359.86 and 74,029.10 is: 104,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,359.86 : 74,029.10 = 74,029.10 : x
  2. Step 2: Convert to fraction form
    52,359.86/74,029.10 = 74,029.10/x
  3. Step 3: Cross multiply
    52,359.86x = 74,029.10 × 74,029.10
  4. Step 4: Simplify right side
    52,359.86x = 5,480,307,010.62
  5. Step 5: Solve for x
    x = 5,480,307,010.62/52,359.86
  6. Step 6: Final answer
    x = 104,666.20

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.