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Finding the Third Proportional to 137,913 and 210,829.50

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Solution

The third proportional to 137,913 and 210,829.50 is: 322,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,913 : 210,829.50 = 210,829.50 : x
  2. Step 2: Convert to fraction form
    137,913/210,829.50 = 210,829.50/x
  3. Step 3: Cross multiply
    137,913x = 210,829.50 × 210,829.50
  4. Step 4: Simplify right side
    137,913x = 44,449,078,070.25
  5. Step 5: Solve for x
    x = 44,449,078,070.25/137,913
  6. Step 6: Final answer
    x = 322,297.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.