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Finding the Third Proportional to 112,281 and 240,120

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Solution

The third proportional to 112,281 and 240,120 is: 513,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,281 : 240,120 = 240,120 : x
  2. Step 2: Convert to fraction form
    112,281/240,120 = 240,120/x
  3. Step 3: Cross multiply
    112,281x = 240,120 × 240,120
  4. Step 4: Simplify right side
    112,281x = 57,657,614,400
  5. Step 5: Solve for x
    x = 57,657,614,400/112,281
  6. Step 6: Final answer
    x = 513,511.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.