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Finding the Third Proportional to 59,364.56 and 127,032.75

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Solution

The third proportional to 59,364.56 and 127,032.75 is: 271,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,364.56 : 127,032.75 = 127,032.75 : x
  2. Step 2: Convert to fraction form
    59,364.56/127,032.75 = 127,032.75/x
  3. Step 3: Cross multiply
    59,364.56x = 127,032.75 × 127,032.75
  4. Step 4: Simplify right side
    59,364.56x = 16,137,319,572.56
  5. Step 5: Solve for x
    x = 16,137,319,572.56/59,364.56
  6. Step 6: Final answer
    x = 271,834.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.