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Finding the Third Proportional to 43,321 and 93,088.50

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Solution

The third proportional to 43,321 and 93,088.50 is: 200,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,321 : 93,088.50 = 93,088.50 : x
  2. Step 2: Convert to fraction form
    43,321/93,088.50 = 93,088.50/x
  3. Step 3: Cross multiply
    43,321x = 93,088.50 × 93,088.50
  4. Step 4: Simplify right side
    43,321x = 8,665,468,832.25
  5. Step 5: Solve for x
    x = 8,665,468,832.25/43,321
  6. Step 6: Final answer
    x = 200,029.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.