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Finding the Third Proportional to 117,066.38 and 176,401.13

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Solution

The third proportional to 117,066.38 and 176,401.13 is: 265,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,066.38 : 176,401.13 = 176,401.13 : x
  2. Step 2: Convert to fraction form
    117,066.38/176,401.13 = 176,401.13/x
  3. Step 3: Cross multiply
    117,066.38x = 176,401.13 × 176,401.13
  4. Step 4: Simplify right side
    117,066.38x = 31,117,356,901.27
  5. Step 5: Solve for x
    x = 31,117,356,901.27/117,066.38
  6. Step 6: Final answer
    x = 265,809.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.