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Finding the Third Proportional to 62,316 and 136,297

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Solution

The third proportional to 62,316 and 136,297 is: 298,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,316 : 136,297 = 136,297 : x
  2. Step 2: Convert to fraction form
    62,316/136,297 = 136,297/x
  3. Step 3: Cross multiply
    62,316x = 136,297 × 136,297
  4. Step 4: Simplify right side
    62,316x = 18,576,872,209
  5. Step 5: Solve for x
    x = 18,576,872,209/62,316
  6. Step 6: Final answer
    x = 298,107.58

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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.