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Finding the Third Proportional to 75,166.50 and 110,289

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Solution

The third proportional to 75,166.50 and 110,289 is: 161,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,166.50 : 110,289 = 110,289 : x
  2. Step 2: Convert to fraction form
    75,166.50/110,289 = 110,289/x
  3. Step 3: Cross multiply
    75,166.50x = 110,289 × 110,289
  4. Step 4: Simplify right side
    75,166.50x = 12,163,663,521
  5. Step 5: Solve for x
    x = 12,163,663,521/75,166.50
  6. Step 6: Final answer
    x = 161,822.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.