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Finding the Third Proportional to 112,533 and 235,461

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Solution

The third proportional to 112,533 and 235,461 is: 492,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,533 : 235,461 = 235,461 : x
  2. Step 2: Convert to fraction form
    112,533/235,461 = 235,461/x
  3. Step 3: Cross multiply
    112,533x = 235,461 × 235,461
  4. Step 4: Simplify right side
    112,533x = 55,441,882,521
  5. Step 5: Solve for x
    x = 55,441,882,521/112,533
  6. Step 6: Final answer
    x = 492,672.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.