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Finding the Third Proportional to 75,706.50 and 163,953.75

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Solution

The third proportional to 75,706.50 and 163,953.75 is: 355,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,706.50 : 163,953.75 = 163,953.75 : x
  2. Step 2: Convert to fraction form
    75,706.50/163,953.75 = 163,953.75/x
  3. Step 3: Cross multiply
    75,706.50x = 163,953.75 × 163,953.75
  4. Step 4: Simplify right side
    75,706.50x = 26,880,832,139.06
  5. Step 5: Solve for x
    x = 26,880,832,139.06/75,706.50
  6. Step 6: Final answer
    x = 355,066.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.