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Finding the Third Proportional to 85,955.25 and 129,095.25

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Solution

The third proportional to 85,955.25 and 129,095.25 is: 193,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,955.25 : 129,095.25 = 129,095.25 : x
  2. Step 2: Convert to fraction form
    85,955.25/129,095.25 = 129,095.25/x
  3. Step 3: Cross multiply
    85,955.25x = 129,095.25 × 129,095.25
  4. Step 4: Simplify right side
    85,955.25x = 16,665,583,572.56
  5. Step 5: Solve for x
    x = 16,665,583,572.56/85,955.25
  6. Step 6: Final answer
    x = 193,886.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.