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Finding the Third Proportional to 65,820.09 and 139,484.53

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Solution

The third proportional to 65,820.09 and 139,484.53 is: 295,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,820.09 : 139,484.53 = 139,484.53 : x
  2. Step 2: Convert to fraction form
    65,820.09/139,484.53 = 139,484.53/x
  3. Step 3: Cross multiply
    65,820.09x = 139,484.53 × 139,484.53
  4. Step 4: Simplify right side
    65,820.09x = 19,455,934,458.03
  5. Step 5: Solve for x
    x = 19,455,934,458.03/65,820.09
  6. Step 6: Final answer
    x = 295,592.63

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.