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Finding the Third Proportional to 65,392.50 and 138,633

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Solution

The third proportional to 65,392.50 and 138,633 is: 293,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,392.50 : 138,633 = 138,633 : x
  2. Step 2: Convert to fraction form
    65,392.50/138,633 = 138,633/x
  3. Step 3: Cross multiply
    65,392.50x = 138,633 × 138,633
  4. Step 4: Simplify right side
    65,392.50x = 19,219,108,689
  5. Step 5: Solve for x
    x = 19,219,108,689/65,392.50
  6. Step 6: Final answer
    x = 293,903.87

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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.