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Finding the Third Proportional to 112,532 and 235,459

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Solution

The third proportional to 112,532 and 235,459 is: 492,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,532 : 235,459 = 235,459 : x
  2. Step 2: Convert to fraction form
    112,532/235,459 = 235,459/x
  3. Step 3: Cross multiply
    112,532x = 235,459 × 235,459
  4. Step 4: Simplify right side
    112,532x = 55,440,940,681
  5. Step 5: Solve for x
    x = 55,440,940,681/112,532
  6. Step 6: Final answer
    x = 492,668.22

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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.