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Finding the Third Proportional to 85,026.25 and 127,095.25

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Solution

The third proportional to 85,026.25 and 127,095.25 is: 189,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,026.25 : 127,095.25 = 127,095.25 : x
  2. Step 2: Convert to fraction form
    85,026.25/127,095.25 = 127,095.25/x
  3. Step 3: Cross multiply
    85,026.25x = 127,095.25 × 127,095.25
  4. Step 4: Simplify right side
    85,026.25x = 16,153,202,572.56
  5. Step 5: Solve for x
    x = 16,153,202,572.56/85,026.25
  6. Step 6: Final answer
    x = 189,979.01

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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.