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Finding the Third Proportional to 60,015 and 130,209

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Solution

The third proportional to 60,015 and 130,209 is: 282,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,015 : 130,209 = 130,209 : x
  2. Step 2: Convert to fraction form
    60,015/130,209 = 130,209/x
  3. Step 3: Cross multiply
    60,015x = 130,209 × 130,209
  4. Step 4: Simplify right side
    60,015x = 16,954,383,681
  5. Step 5: Solve for x
    x = 16,954,383,681/60,015
  6. Step 6: Final answer
    x = 282,502.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.