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Finding the Third Proportional to 92,900.25 and 147,639.38

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Solution

The third proportional to 92,900.25 and 147,639.38 is: 234,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,900.25 : 147,639.38 = 147,639.38 : x
  2. Step 2: Convert to fraction form
    92,900.25/147,639.38 = 147,639.38/x
  3. Step 3: Cross multiply
    92,900.25x = 147,639.38 × 147,639.38
  4. Step 4: Simplify right side
    92,900.25x = 21,797,385,050.39
  5. Step 5: Solve for x
    x = 21,797,385,050.39/92,900.25
  6. Step 6: Final answer
    x = 234,632.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.