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Finding the Third Proportional to 62,319 and 135,153

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Solution

The third proportional to 62,319 and 135,153 is: 293,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,319 : 135,153 = 135,153 : x
  2. Step 2: Convert to fraction form
    62,319/135,153 = 135,153/x
  3. Step 3: Cross multiply
    62,319x = 135,153 × 135,153
  4. Step 4: Simplify right side
    62,319x = 18,266,333,409
  5. Step 5: Solve for x
    x = 18,266,333,409/62,319
  6. Step 6: Final answer
    x = 293,110.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.