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Finding the Third Proportional to 62,467 and 136,585

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Solution

The third proportional to 62,467 and 136,585 is: 298,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,467 : 136,585 = 136,585 : x
  2. Step 2: Convert to fraction form
    62,467/136,585 = 136,585/x
  3. Step 3: Cross multiply
    62,467x = 136,585 × 136,585
  4. Step 4: Simplify right side
    62,467x = 18,655,462,225
  5. Step 5: Solve for x
    x = 18,655,462,225/62,467
  6. Step 6: Final answer
    x = 298,645.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.