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Finding the Third Proportional to 42,352 and 93,411

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Solution

The third proportional to 42,352 and 93,411 is: 206,026.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,352 : 93,411 = 93,411 : x
  2. Step 2: Convert to fraction form
    42,352/93,411 = 93,411/x
  3. Step 3: Cross multiply
    42,352x = 93,411 × 93,411
  4. Step 4: Simplify right side
    42,352x = 8,725,614,921
  5. Step 5: Solve for x
    x = 8,725,614,921/42,352
  6. Step 6: Final answer
    x = 206,026.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.