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Finding the Third Proportional to 84,294 and 125,995.50

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Solution

The third proportional to 84,294 and 125,995.50 is: 188,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,294 : 125,995.50 = 125,995.50 : x
  2. Step 2: Convert to fraction form
    84,294/125,995.50 = 125,995.50/x
  3. Step 3: Cross multiply
    84,294x = 125,995.50 × 125,995.50
  4. Step 4: Simplify right side
    84,294x = 15,874,866,020.25
  5. Step 5: Solve for x
    x = 15,874,866,020.25/84,294
  6. Step 6: Final answer
    x = 188,327.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.