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Finding the Third Proportional to 68,602.50 and 149,772

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Solution

The third proportional to 68,602.50 and 149,772 is: 326,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,602.50 : 149,772 = 149,772 : x
  2. Step 2: Convert to fraction form
    68,602.50/149,772 = 149,772/x
  3. Step 3: Cross multiply
    68,602.50x = 149,772 × 149,772
  4. Step 4: Simplify right side
    68,602.50x = 22,431,651,984
  5. Step 5: Solve for x
    x = 22,431,651,984/68,602.50
  6. Step 6: Final answer
    x = 326,980.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.