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Finding the Third Proportional to 37,410.19 and 83,124.56

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Solution

The third proportional to 37,410.19 and 83,124.56 is: 184,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,410.19 : 83,124.56 = 83,124.56 : x
  2. Step 2: Convert to fraction form
    37,410.19/83,124.56 = 83,124.56/x
  3. Step 3: Cross multiply
    37,410.19x = 83,124.56 × 83,124.56
  4. Step 4: Simplify right side
    37,410.19x = 6,909,692,890.82
  5. Step 5: Solve for x
    x = 6,909,692,890.82/37,410.19
  6. Step 6: Final answer
    x = 184,700.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.