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Finding the Third Proportional to 73,584 and 155,754

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Solution

The third proportional to 73,584 and 155,754 is: 329,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,584 : 155,754 = 155,754 : x
  2. Step 2: Convert to fraction form
    73,584/155,754 = 155,754/x
  3. Step 3: Cross multiply
    73,584x = 155,754 × 155,754
  4. Step 4: Simplify right side
    73,584x = 24,259,308,516
  5. Step 5: Solve for x
    x = 24,259,308,516/73,584
  6. Step 6: Final answer
    x = 329,681.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.