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Finding the Third Proportional to 42,587 and 89,587

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Solution

The third proportional to 42,587 and 89,587 is: 188,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,587 : 89,587 = 89,587 : x
  2. Step 2: Convert to fraction form
    42,587/89,587 = 89,587/x
  3. Step 3: Cross multiply
    42,587x = 89,587 × 89,587
  4. Step 4: Simplify right side
    42,587x = 8,025,830,569
  5. Step 5: Solve for x
    x = 8,025,830,569/42,587
  6. Step 6: Final answer
    x = 188,457.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.