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Finding the Third Proportional to 67,824 and 147,312

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Solution

The third proportional to 67,824 and 147,312 is: 319,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824 : 147,312 = 147,312 : x
  2. Step 2: Convert to fraction form
    67,824/147,312 = 147,312/x
  3. Step 3: Cross multiply
    67,824x = 147,312 × 147,312
  4. Step 4: Simplify right side
    67,824x = 21,700,825,344
  5. Step 5: Solve for x
    x = 21,700,825,344/67,824
  6. Step 6: Final answer
    x = 319,957.91

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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.