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Finding the Third Proportional to 42,434 and 93,340

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Solution

The third proportional to 42,434 and 93,340 is: 205,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,434 : 93,340 = 93,340 : x
  2. Step 2: Convert to fraction form
    42,434/93,340 = 93,340/x
  3. Step 3: Cross multiply
    42,434x = 93,340 × 93,340
  4. Step 4: Simplify right side
    42,434x = 8,712,355,600
  5. Step 5: Solve for x
    x = 8,712,355,600/42,434
  6. Step 6: Final answer
    x = 205,315.45

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