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Finding the Third Proportional to 75,316.50 and 110,146.50

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Solution

The third proportional to 75,316.50 and 110,146.50 is: 161,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,316.50 : 110,146.50 = 110,146.50 : x
  2. Step 2: Convert to fraction form
    75,316.50/110,146.50 = 110,146.50/x
  3. Step 3: Cross multiply
    75,316.50x = 110,146.50 × 110,146.50
  4. Step 4: Simplify right side
    75,316.50x = 12,132,251,462.25
  5. Step 5: Solve for x
    x = 12,132,251,462.25/75,316.50
  6. Step 6: Final answer
    x = 161,083.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.