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Finding the Third Proportional to 84,324 and 127,039.50

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Solution

The third proportional to 84,324 and 127,039.50 is: 191,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,324 : 127,039.50 = 127,039.50 : x
  2. Step 2: Convert to fraction form
    84,324/127,039.50 = 127,039.50/x
  3. Step 3: Cross multiply
    84,324x = 127,039.50 × 127,039.50
  4. Step 4: Simplify right side
    84,324x = 16,139,034,560.25
  5. Step 5: Solve for x
    x = 16,139,034,560.25/84,324
  6. Step 6: Final answer
    x = 191,393.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.