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Finding the Third Proportional to 60,705 and 89,878

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Solution

The third proportional to 60,705 and 89,878 is: 133,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,705 : 89,878 = 89,878 : x
  2. Step 2: Convert to fraction form
    60,705/89,878 = 89,878/x
  3. Step 3: Cross multiply
    60,705x = 89,878 × 89,878
  4. Step 4: Simplify right side
    60,705x = 8,078,054,884
  5. Step 5: Solve for x
    x = 8,078,054,884/60,705
  6. Step 6: Final answer
    x = 133,070.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.