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Finding the Third Proportional to 59,983 and 89,641

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Solution

The third proportional to 59,983 and 89,641 is: 133,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,983 : 89,641 = 89,641 : x
  2. Step 2: Convert to fraction form
    59,983/89,641 = 89,641/x
  3. Step 3: Cross multiply
    59,983x = 89,641 × 89,641
  4. Step 4: Simplify right side
    59,983x = 8,035,508,881
  5. Step 5: Solve for x
    x = 8,035,508,881/59,983
  6. Step 6: Final answer
    x = 133,963.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.