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Finding the Third Proportional to 68,244 and 147,666.50

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Solution

The third proportional to 68,244 and 147,666.50 is: 319,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,244 : 147,666.50 = 147,666.50 : x
  2. Step 2: Convert to fraction form
    68,244/147,666.50 = 147,666.50/x
  3. Step 3: Cross multiply
    68,244x = 147,666.50 × 147,666.50
  4. Step 4: Simplify right side
    68,244x = 21,805,395,222.25
  5. Step 5: Solve for x
    x = 21,805,395,222.25/68,244
  6. Step 6: Final answer
    x = 319,521.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.