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Finding the Third Proportional to 74,085 and 174,778.50

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Solution

The third proportional to 74,085 and 174,778.50 is: 412,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,085 : 174,778.50 = 174,778.50 : x
  2. Step 2: Convert to fraction form
    74,085/174,778.50 = 174,778.50/x
  3. Step 3: Cross multiply
    74,085x = 174,778.50 × 174,778.50
  4. Step 4: Simplify right side
    74,085x = 30,547,524,062.25
  5. Step 5: Solve for x
    x = 30,547,524,062.25/74,085
  6. Step 6: Final answer
    x = 412,330.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.