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Finding the Third Proportional to 60,187 and 130,010

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Solution

The third proportional to 60,187 and 130,010 is: 280,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,187 : 130,010 = 130,010 : x
  2. Step 2: Convert to fraction form
    60,187/130,010 = 130,010/x
  3. Step 3: Cross multiply
    60,187x = 130,010 × 130,010
  4. Step 4: Simplify right side
    60,187x = 16,902,600,100
  5. Step 5: Solve for x
    x = 16,902,600,100/60,187
  6. Step 6: Final answer
    x = 280,834.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.