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Finding the Third Proportional to 35,913.50 and 78,157

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Solution

The third proportional to 35,913.50 and 78,157 is: 170,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,913.50 : 78,157 = 78,157 : x
  2. Step 2: Convert to fraction form
    35,913.50/78,157 = 78,157/x
  3. Step 3: Cross multiply
    35,913.50x = 78,157 × 78,157
  4. Step 4: Simplify right side
    35,913.50x = 6,108,516,649
  5. Step 5: Solve for x
    x = 6,108,516,649/35,913.50
  6. Step 6: Final answer
    x = 170,089.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.