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Finding the Third Proportional to 42,719 and 93,665

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Solution

The third proportional to 42,719 and 93,665 is: 205,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,719 : 93,665 = 93,665 : x
  2. Step 2: Convert to fraction form
    42,719/93,665 = 93,665/x
  3. Step 3: Cross multiply
    42,719x = 93,665 × 93,665
  4. Step 4: Simplify right side
    42,719x = 8,773,132,225
  5. Step 5: Solve for x
    x = 8,773,132,225/42,719
  6. Step 6: Final answer
    x = 205,368.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.