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Finding the Third Proportional to 56,411 and 84,000.50

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Solution

The third proportional to 56,411 and 84,000.50 is: 125,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,411 : 84,000.50 = 84,000.50 : x
  2. Step 2: Convert to fraction form
    56,411/84,000.50 = 84,000.50/x
  3. Step 3: Cross multiply
    56,411x = 84,000.50 × 84,000.50
  4. Step 4: Simplify right side
    56,411x = 7,056,084,000.25
  5. Step 5: Solve for x
    x = 7,056,084,000.25/56,411
  6. Step 6: Final answer
    x = 125,083.48

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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.