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Finding the Third Proportional to 57,411 and 84,415.50

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Solution

The third proportional to 57,411 and 84,415.50 is: 124,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411 : 84,415.50 = 84,415.50 : x
  2. Step 2: Convert to fraction form
    57,411/84,415.50 = 84,415.50/x
  3. Step 3: Cross multiply
    57,411x = 84,415.50 × 84,415.50
  4. Step 4: Simplify right side
    57,411x = 7,125,976,640.25
  5. Step 5: Solve for x
    x = 7,125,976,640.25/57,411
  6. Step 6: Final answer
    x = 124,122.15

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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.