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Finding the Third Proportional to 137,064 and 211,821.50

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Solution

The third proportional to 137,064 and 211,821.50 is: 327,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,064 : 211,821.50 = 211,821.50 : x
  2. Step 2: Convert to fraction form
    137,064/211,821.50 = 211,821.50/x
  3. Step 3: Cross multiply
    137,064x = 211,821.50 × 211,821.50
  4. Step 4: Simplify right side
    137,064x = 44,868,347,862.25
  5. Step 5: Solve for x
    x = 44,868,347,862.25/137,064
  6. Step 6: Final answer
    x = 327,353.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.