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Finding the Third Proportional to 73,824.19 and 114,528.38

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Solution

The third proportional to 73,824.19 and 114,528.38 is: 177,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,824.19 : 114,528.38 = 114,528.38 : x
  2. Step 2: Convert to fraction form
    73,824.19/114,528.38 = 114,528.38/x
  3. Step 3: Cross multiply
    73,824.19x = 114,528.38 × 114,528.38
  4. Step 4: Simplify right side
    73,824.19x = 13,116,748,680.14
  5. Step 5: Solve for x
    x = 13,116,748,680.14/73,824.19
  6. Step 6: Final answer
    x = 177,675.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.