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Finding the Third Proportional to 114,908.63 and 207,127.13

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Solution

The third proportional to 114,908.63 and 207,127.13 is: 373,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,908.63 : 207,127.13 = 207,127.13 : x
  2. Step 2: Convert to fraction form
    114,908.63/207,127.13 = 207,127.13/x
  3. Step 3: Cross multiply
    114,908.63x = 207,127.13 × 207,127.13
  4. Step 4: Simplify right side
    114,908.63x = 42,901,645,910.77
  5. Step 5: Solve for x
    x = 42,901,645,910.77/114,908.63
  6. Step 6: Final answer
    x = 373,354.44

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.