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Finding the Third Proportional to 53,965.50 and 81,700.50

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Solution

The third proportional to 53,965.50 and 81,700.50 is: 123,689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,965.50 : 81,700.50 = 81,700.50 : x
  2. Step 2: Convert to fraction form
    53,965.50/81,700.50 = 81,700.50/x
  3. Step 3: Cross multiply
    53,965.50x = 81,700.50 × 81,700.50
  4. Step 4: Simplify right side
    53,965.50x = 6,674,971,700.25
  5. Step 5: Solve for x
    x = 6,674,971,700.25/53,965.50
  6. Step 6: Final answer
    x = 123,689.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.