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Finding the Third Proportional to 72,955.69 and 157,167.84

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Solution

The third proportional to 72,955.69 and 157,167.84 is: 338,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,955.69 : 157,167.84 = 157,167.84 : x
  2. Step 2: Convert to fraction form
    72,955.69/157,167.84 = 157,167.84/x
  3. Step 3: Cross multiply
    72,955.69x = 157,167.84 × 157,167.84
  4. Step 4: Simplify right side
    72,955.69x = 24,701,731,109.02
  5. Step 5: Solve for x
    x = 24,701,731,109.02/72,955.69
  6. Step 6: Final answer
    x = 338,585.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.