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Finding the Third Proportional to 74,147.50 and 159,959

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Solution

The third proportional to 74,147.50 and 159,959 is: 345,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,147.50 : 159,959 = 159,959 : x
  2. Step 2: Convert to fraction form
    74,147.50/159,959 = 159,959/x
  3. Step 3: Cross multiply
    74,147.50x = 159,959 × 159,959
  4. Step 4: Simplify right side
    74,147.50x = 25,586,881,681
  5. Step 5: Solve for x
    x = 25,586,881,681/74,147.50
  6. Step 6: Final answer
    x = 345,080.84

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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.