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Finding the Third Proportional to 71,242 and 152,364

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Solution

The third proportional to 71,242 and 152,364 is: 325,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,242 : 152,364 = 152,364 : x
  2. Step 2: Convert to fraction form
    71,242/152,364 = 152,364/x
  3. Step 3: Cross multiply
    71,242x = 152,364 × 152,364
  4. Step 4: Simplify right side
    71,242x = 23,214,788,496
  5. Step 5: Solve for x
    x = 23,214,788,496/71,242
  6. Step 6: Final answer
    x = 325,858.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.