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Finding the Third Proportional to 77,403.09 and 116,883.84

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Solution

The third proportional to 77,403.09 and 116,883.84 is: 176,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,403.09 : 116,883.84 = 116,883.84 : x
  2. Step 2: Convert to fraction form
    77,403.09/116,883.84 = 116,883.84/x
  3. Step 3: Cross multiply
    77,403.09x = 116,883.84 × 116,883.84
  4. Step 4: Simplify right side
    77,403.09x = 13,661,832,929.77
  5. Step 5: Solve for x
    x = 13,661,832,929.77/77,403.09
  6. Step 6: Final answer
    x = 176,502.41

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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.