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Finding the Third Proportional to 72,635.81 and 157,335.56

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Solution

The third proportional to 72,635.81 and 157,335.56 is: 340,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,635.81 : 157,335.56 = 157,335.56 : x
  2. Step 2: Convert to fraction form
    72,635.81/157,335.56 = 157,335.56/x
  3. Step 3: Cross multiply
    72,635.81x = 157,335.56 × 157,335.56
  4. Step 4: Simplify right side
    72,635.81x = 24,754,479,227.19
  5. Step 5: Solve for x
    x = 24,754,479,227.19/72,635.81
  6. Step 6: Final answer
    x = 340,802.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.