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Finding the Third Proportional to 119,535 and 260,100

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Solution

The third proportional to 119,535 and 260,100 is: 565,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,535 : 260,100 = 260,100 : x
  2. Step 2: Convert to fraction form
    119,535/260,100 = 260,100/x
  3. Step 3: Cross multiply
    119,535x = 260,100 × 260,100
  4. Step 4: Simplify right side
    119,535x = 67,652,010,000
  5. Step 5: Solve for x
    x = 67,652,010,000/119,535
  6. Step 6: Final answer
    x = 565,959.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.