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Finding the Third Proportional to 54,262 and 84,010

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Solution

The third proportional to 54,262 and 84,010 is: 130,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,262 : 84,010 = 84,010 : x
  2. Step 2: Convert to fraction form
    54,262/84,010 = 84,010/x
  3. Step 3: Cross multiply
    54,262x = 84,010 × 84,010
  4. Step 4: Simplify right side
    54,262x = 7,057,680,100
  5. Step 5: Solve for x
    x = 7,057,680,100/54,262
  6. Step 6: Final answer
    x = 130,066.72

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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.