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Finding the Third Proportional to 60,209 and 89,442

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Solution

The third proportional to 60,209 and 89,442 is: 132,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,209 : 89,442 = 89,442 : x
  2. Step 2: Convert to fraction form
    60,209/89,442 = 89,442/x
  3. Step 3: Cross multiply
    60,209x = 89,442 × 89,442
  4. Step 4: Simplify right side
    60,209x = 7,999,871,364
  5. Step 5: Solve for x
    x = 7,999,871,364/60,209
  6. Step 6: Final answer
    x = 132,868.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.