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Finding the Third Proportional to 60,515 and 162,587

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Solution

The third proportional to 60,515 and 162,587 is: 436,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,515 : 162,587 = 162,587 : x
  2. Step 2: Convert to fraction form
    60,515/162,587 = 162,587/x
  3. Step 3: Cross multiply
    60,515x = 162,587 × 162,587
  4. Step 4: Simplify right side
    60,515x = 26,434,532,569
  5. Step 5: Solve for x
    x = 26,434,532,569/60,515
  6. Step 6: Final answer
    x = 436,826.12

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.