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Finding the Third Proportional to 68,243.06 and 147,664.13

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Solution

The third proportional to 68,243.06 and 147,664.13 is: 319,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,243.06 : 147,664.13 = 147,664.13 : x
  2. Step 2: Convert to fraction form
    68,243.06/147,664.13 = 147,664.13/x
  3. Step 3: Cross multiply
    68,243.06x = 147,664.13 × 147,664.13
  4. Step 4: Simplify right side
    68,243.06x = 21,804,693,812.02
  5. Step 5: Solve for x
    x = 21,804,693,812.02/68,243.06
  6. Step 6: Final answer
    x = 319,515.17

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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.