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Finding the Third Proportional to 56,443 and 77,398.50

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Solution

The third proportional to 56,443 and 77,398.50 is: 106,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,443 : 77,398.50 = 77,398.50 : x
  2. Step 2: Convert to fraction form
    56,443/77,398.50 = 77,398.50/x
  3. Step 3: Cross multiply
    56,443x = 77,398.50 × 77,398.50
  4. Step 4: Simplify right side
    56,443x = 5,990,527,802.25
  5. Step 5: Solve for x
    x = 5,990,527,802.25/56,443
  6. Step 6: Final answer
    x = 106,134.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.