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Finding the Third Proportional to 74,302.31 and 115,095.94

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Solution

The third proportional to 74,302.31 and 115,095.94 is: 178,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,302.31 : 115,095.94 = 115,095.94 : x
  2. Step 2: Convert to fraction form
    74,302.31/115,095.94 = 115,095.94/x
  3. Step 3: Cross multiply
    74,302.31x = 115,095.94 × 115,095.94
  4. Step 4: Simplify right side
    74,302.31x = 13,247,074,829.00
  5. Step 5: Solve for x
    x = 13,247,074,829.00/74,302.31
  6. Step 6: Final answer
    x = 178,286.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.