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Finding the Third Proportional to 42,090 and 93,524

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Solution

The third proportional to 42,090 and 93,524 is: 207,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,090 : 93,524 = 93,524 : x
  2. Step 2: Convert to fraction form
    42,090/93,524 = 93,524/x
  3. Step 3: Cross multiply
    42,090x = 93,524 × 93,524
  4. Step 4: Simplify right side
    42,090x = 8,746,738,576
  5. Step 5: Solve for x
    x = 8,746,738,576/42,090
  6. Step 6: Final answer
    x = 207,810.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.