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Finding the Third Proportional to 76,443.75 and 162,172.13

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Solution

The third proportional to 76,443.75 and 162,172.13 is: 344,041.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,443.75 : 162,172.13 = 162,172.13 : x
  2. Step 2: Convert to fraction form
    76,443.75/162,172.13 = 162,172.13/x
  3. Step 3: Cross multiply
    76,443.75x = 162,172.13 × 162,172.13
  4. Step 4: Simplify right side
    76,443.75x = 26,299,798,127.02
  5. Step 5: Solve for x
    x = 26,299,798,127.02/76,443.75
  6. Step 6: Final answer
    x = 344,041.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.