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Finding the Third Proportional to 75,577.50 and 112,971.38

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Solution

The third proportional to 75,577.50 and 112,971.38 is: 168,866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,577.50 : 112,971.38 = 112,971.38 : x
  2. Step 2: Convert to fraction form
    75,577.50/112,971.38 = 112,971.38/x
  3. Step 3: Cross multiply
    75,577.50x = 112,971.38 × 112,971.38
  4. Step 4: Simplify right side
    75,577.50x = 12,762,531,569.39
  5. Step 5: Solve for x
    x = 12,762,531,569.39/75,577.50
  6. Step 6: Final answer
    x = 168,866.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.