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Finding the Third Proportional to 67,538.81 and 145,551.94

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Solution

The third proportional to 67,538.81 and 145,551.94 is: 313,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,538.81 : 145,551.94 = 145,551.94 : x
  2. Step 2: Convert to fraction form
    67,538.81/145,551.94 = 145,551.94/x
  3. Step 3: Cross multiply
    67,538.81x = 145,551.94 × 145,551.94
  4. Step 4: Simplify right side
    67,538.81x = 21,185,366,510.00
  5. Step 5: Solve for x
    x = 21,185,366,510.00/67,538.81
  6. Step 6: Final answer
    x = 313,676.92

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Why These Related Problems?

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