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Finding the Third Proportional to 114,998.63 and 176,203.13

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Solution

The third proportional to 114,998.63 and 176,203.13 is: 269,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,998.63 : 176,203.13 = 176,203.13 : x
  2. Step 2: Convert to fraction form
    114,998.63/176,203.13 = 176,203.13/x
  3. Step 3: Cross multiply
    114,998.63x = 176,203.13 × 176,203.13
  4. Step 4: Simplify right side
    114,998.63x = 31,047,541,259.77
  5. Step 5: Solve for x
    x = 31,047,541,259.77/114,998.63
  6. Step 6: Final answer
    x = 269,981.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.