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Finding the Third Proportional to 42,435 and 93,341.25

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Solution

The third proportional to 42,435 and 93,341.25 is: 205,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,435 : 93,341.25 = 93,341.25 : x
  2. Step 2: Convert to fraction form
    42,435/93,341.25 = 93,341.25/x
  3. Step 3: Cross multiply
    42,435x = 93,341.25 × 93,341.25
  4. Step 4: Simplify right side
    42,435x = 8,712,588,951.56
  5. Step 5: Solve for x
    x = 8,712,588,951.56/42,435
  6. Step 6: Final answer
    x = 205,316.11

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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.