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Finding the Third Proportional to 42,929 and 93,003.50

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Solution

The third proportional to 42,929 and 93,003.50 is: 201,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,929 : 93,003.50 = 93,003.50 : x
  2. Step 2: Convert to fraction form
    42,929/93,003.50 = 93,003.50/x
  3. Step 3: Cross multiply
    42,929x = 93,003.50 × 93,003.50
  4. Step 4: Simplify right side
    42,929x = 8,649,651,012.25
  5. Step 5: Solve for x
    x = 8,649,651,012.25/42,929
  6. Step 6: Final answer
    x = 201,487.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.