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Finding the Third Proportional to 71,715 and 154,662

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Solution

The third proportional to 71,715 and 154,662 is: 333,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,715 : 154,662 = 154,662 : x
  2. Step 2: Convert to fraction form
    71,715/154,662 = 154,662/x
  3. Step 3: Cross multiply
    71,715x = 154,662 × 154,662
  4. Step 4: Simplify right side
    71,715x = 23,920,334,244
  5. Step 5: Solve for x
    x = 23,920,334,244/71,715
  6. Step 6: Final answer
    x = 333,547.16

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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.