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Finding the Third Proportional to 60,858 and 131,395.50

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Solution

The third proportional to 60,858 and 131,395.50 is: 283,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,858 : 131,395.50 = 131,395.50 : x
  2. Step 2: Convert to fraction form
    60,858/131,395.50 = 131,395.50/x
  3. Step 3: Cross multiply
    60,858x = 131,395.50 × 131,395.50
  4. Step 4: Simplify right side
    60,858x = 17,264,777,420.25
  5. Step 5: Solve for x
    x = 17,264,777,420.25/60,858
  6. Step 6: Final answer
    x = 283,689.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.