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Finding the Third Proportional to 141,010 and 220,090

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Solution

The third proportional to 141,010 and 220,090 is: 343,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,010 : 220,090 = 220,090 : x
  2. Step 2: Convert to fraction form
    141,010/220,090 = 220,090/x
  3. Step 3: Cross multiply
    141,010x = 220,090 × 220,090
  4. Step 4: Simplify right side
    141,010x = 48,439,608,100
  5. Step 5: Solve for x
    x = 48,439,608,100/141,010
  6. Step 6: Final answer
    x = 343,518.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.