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Finding the Third Proportional to 68,643 and 160,362

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Solution

The third proportional to 68,643 and 160,362 is: 374,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,643 : 160,362 = 160,362 : x
  2. Step 2: Convert to fraction form
    68,643/160,362 = 160,362/x
  3. Step 3: Cross multiply
    68,643x = 160,362 × 160,362
  4. Step 4: Simplify right side
    68,643x = 25,715,971,044
  5. Step 5: Solve for x
    x = 25,715,971,044/68,643
  6. Step 6: Final answer
    x = 374,633.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.