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Finding the Third Proportional to 62,165 and 95,607.50

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Solution

The third proportional to 62,165 and 95,607.50 is: 147,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,165 : 95,607.50 = 95,607.50 : x
  2. Step 2: Convert to fraction form
    62,165/95,607.50 = 95,607.50/x
  3. Step 3: Cross multiply
    62,165x = 95,607.50 × 95,607.50
  4. Step 4: Simplify right side
    62,165x = 9,140,794,056.25
  5. Step 5: Solve for x
    x = 9,140,794,056.25/62,165
  6. Step 6: Final answer
    x = 147,040.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.