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Finding the Third Proportional to 60,456 and 89,871

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Solution

The third proportional to 60,456 and 89,871 is: 133,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,456 : 89,871 = 89,871 : x
  2. Step 2: Convert to fraction form
    60,456/89,871 = 89,871/x
  3. Step 3: Cross multiply
    60,456x = 89,871 × 89,871
  4. Step 4: Simplify right side
    60,456x = 8,076,796,641
  5. Step 5: Solve for x
    x = 8,076,796,641/60,456
  6. Step 6: Final answer
    x = 133,597.93

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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.