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Finding the Third Proportional to 112,829 and 245,080

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Solution

The third proportional to 112,829 and 245,080 is: 532,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,829 : 245,080 = 245,080 : x
  2. Step 2: Convert to fraction form
    112,829/245,080 = 245,080/x
  3. Step 3: Cross multiply
    112,829x = 245,080 × 245,080
  4. Step 4: Simplify right side
    112,829x = 60,064,206,400
  5. Step 5: Solve for x
    x = 60,064,206,400/112,829
  6. Step 6: Final answer
    x = 532,347.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.