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Finding the Third Proportional to 42,437 and 93,346

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Solution

The third proportional to 42,437 and 93,346 is: 205,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,437 : 93,346 = 93,346 : x
  2. Step 2: Convert to fraction form
    42,437/93,346 = 93,346/x
  3. Step 3: Cross multiply
    42,437x = 93,346 × 93,346
  4. Step 4: Simplify right side
    42,437x = 8,713,475,716
  5. Step 5: Solve for x
    x = 8,713,475,716/42,437
  6. Step 6: Final answer
    x = 205,327.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.