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Finding the Third Proportional to 120,085 and 185,959

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Solution

The third proportional to 120,085 and 185,959 is: 287,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,085 : 185,959 = 185,959 : x
  2. Step 2: Convert to fraction form
    120,085/185,959 = 185,959/x
  3. Step 3: Cross multiply
    120,085x = 185,959 × 185,959
  4. Step 4: Simplify right side
    120,085x = 34,580,749,681
  5. Step 5: Solve for x
    x = 34,580,749,681/120,085
  6. Step 6: Final answer
    x = 287,968.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.