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Finding the Third Proportional to 112,959 and 235,273.50

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Solution

The third proportional to 112,959 and 235,273.50 is: 490,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,959 : 235,273.50 = 235,273.50 : x
  2. Step 2: Convert to fraction form
    112,959/235,273.50 = 235,273.50/x
  3. Step 3: Cross multiply
    112,959x = 235,273.50 × 235,273.50
  4. Step 4: Simplify right side
    112,959x = 55,353,619,802.25
  5. Step 5: Solve for x
    x = 55,353,619,802.25/112,959
  6. Step 6: Final answer
    x = 490,032.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.