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Finding the Third Proportional to 60,669 and 89,019

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Solution

The third proportional to 60,669 and 89,019 is: 130,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,669 : 89,019 = 89,019 : x
  2. Step 2: Convert to fraction form
    60,669/89,019 = 89,019/x
  3. Step 3: Cross multiply
    60,669x = 89,019 × 89,019
  4. Step 4: Simplify right side
    60,669x = 7,924,382,361
  5. Step 5: Solve for x
    x = 7,924,382,361/60,669
  6. Step 6: Final answer
    x = 130,616.66

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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.