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Finding the Third Proportional to 42,090 and 88,924.50

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Solution

The third proportional to 42,090 and 88,924.50 is: 187,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,090 : 88,924.50 = 88,924.50 : x
  2. Step 2: Convert to fraction form
    42,090/88,924.50 = 88,924.50/x
  3. Step 3: Cross multiply
    42,090x = 88,924.50 × 88,924.50
  4. Step 4: Simplify right side
    42,090x = 7,907,566,700.25
  5. Step 5: Solve for x
    x = 7,907,566,700.25/42,090
  6. Step 6: Final answer
    x = 187,872.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.