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Finding the Third Proportional to 60,671 and 89,022

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Solution

The third proportional to 60,671 and 89,022 is: 130,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,671 : 89,022 = 89,022 : x
  2. Step 2: Convert to fraction form
    60,671/89,022 = 89,022/x
  3. Step 3: Cross multiply
    60,671x = 89,022 × 89,022
  4. Step 4: Simplify right side
    60,671x = 7,924,916,484
  5. Step 5: Solve for x
    x = 7,924,916,484/60,671
  6. Step 6: Final answer
    x = 130,621.16

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Why These Related Problems?

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