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Finding the Third Proportional to 67,983 and 147,264

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Solution

The third proportional to 67,983 and 147,264 is: 319,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,983 : 147,264 = 147,264 : x
  2. Step 2: Convert to fraction form
    67,983/147,264 = 147,264/x
  3. Step 3: Cross multiply
    67,983x = 147,264 × 147,264
  4. Step 4: Simplify right side
    67,983x = 21,686,685,696
  5. Step 5: Solve for x
    x = 21,686,685,696/67,983
  6. Step 6: Final answer
    x = 319,001.60

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