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Finding the Third Proportional to 52,570 and 107,594

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Solution

The third proportional to 52,570 and 107,594 is: 220,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570 : 107,594 = 107,594 : x
  2. Step 2: Convert to fraction form
    52,570/107,594 = 107,594/x
  3. Step 3: Cross multiply
    52,570x = 107,594 × 107,594
  4. Step 4: Simplify right side
    52,570x = 11,576,468,836
  5. Step 5: Solve for x
    x = 11,576,468,836/52,570
  6. Step 6: Final answer
    x = 220,210.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.