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Finding the Third Proportional to 112,201 and 245,461

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Solution

The third proportional to 112,201 and 245,461 is: 536,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,201 : 245,461 = 245,461 : x
  2. Step 2: Convert to fraction form
    112,201/245,461 = 245,461/x
  3. Step 3: Cross multiply
    112,201x = 245,461 × 245,461
  4. Step 4: Simplify right side
    112,201x = 60,251,102,521
  5. Step 5: Solve for x
    x = 60,251,102,521/112,201
  6. Step 6: Final answer
    x = 536,992.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.