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Finding the Third Proportional to 75,643.13 and 102,781.50

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Solution

The third proportional to 75,643.13 and 102,781.50 is: 139,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,643.13 : 102,781.50 = 102,781.50 : x
  2. Step 2: Convert to fraction form
    75,643.13/102,781.50 = 102,781.50/x
  3. Step 3: Cross multiply
    75,643.13x = 102,781.50 × 102,781.50
  4. Step 4: Simplify right side
    75,643.13x = 10,564,036,742.25
  5. Step 5: Solve for x
    x = 10,564,036,742.25/75,643.13
  6. Step 6: Final answer
    x = 139,656.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.