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Finding the Third Proportional to 62,640 and 130,437

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Solution

The third proportional to 62,640 and 130,437 is: 271,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,640 : 130,437 = 130,437 : x
  2. Step 2: Convert to fraction form
    62,640/130,437 = 130,437/x
  3. Step 3: Cross multiply
    62,640x = 130,437 × 130,437
  4. Step 4: Simplify right side
    62,640x = 17,013,810,969
  5. Step 5: Solve for x
    x = 17,013,810,969/62,640
  6. Step 6: Final answer
    x = 271,612.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.