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Finding the Third Proportional to 77,403.94 and 160,117.59

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Solution

The third proportional to 77,403.94 and 160,117.59 is: 331,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,403.94 : 160,117.59 = 160,117.59 : x
  2. Step 2: Convert to fraction form
    77,403.94/160,117.59 = 160,117.59/x
  3. Step 3: Cross multiply
    77,403.94x = 160,117.59 × 160,117.59
  4. Step 4: Simplify right side
    77,403.94x = 25,637,643,828.29
  5. Step 5: Solve for x
    x = 25,637,643,828.29/77,403.94
  6. Step 6: Final answer
    x = 331,218.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.