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Finding the Third Proportional to 52,473 and 112,722

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Solution

The third proportional to 52,473 and 112,722 is: 242,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,473 : 112,722 = 112,722 : x
  2. Step 2: Convert to fraction form
    52,473/112,722 = 112,722/x
  3. Step 3: Cross multiply
    52,473x = 112,722 × 112,722
  4. Step 4: Simplify right side
    52,473x = 12,706,249,284
  5. Step 5: Solve for x
    x = 12,706,249,284/52,473
  6. Step 6: Final answer
    x = 242,148.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.