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Finding the Third Proportional to 60,840 and 89,158

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Solution

The third proportional to 60,840 and 89,158 is: 130,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,840 : 89,158 = 89,158 : x
  2. Step 2: Convert to fraction form
    60,840/89,158 = 89,158/x
  3. Step 3: Cross multiply
    60,840x = 89,158 × 89,158
  4. Step 4: Simplify right side
    60,840x = 7,949,148,964
  5. Step 5: Solve for x
    x = 7,949,148,964/60,840
  6. Step 6: Final answer
    x = 130,656.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.