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Finding the Third Proportional to 42,683 and 89,862

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Solution

The third proportional to 42,683 and 89,862 is: 189,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,683 : 89,862 = 89,862 : x
  2. Step 2: Convert to fraction form
    42,683/89,862 = 89,862/x
  3. Step 3: Cross multiply
    42,683x = 89,862 × 89,862
  4. Step 4: Simplify right side
    42,683x = 8,075,179,044
  5. Step 5: Solve for x
    x = 8,075,179,044/42,683
  6. Step 6: Final answer
    x = 189,189.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.