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Finding the Third Proportional to 63,348 and 136,740

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Solution

The third proportional to 63,348 and 136,740 is: 295,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,348 : 136,740 = 136,740 : x
  2. Step 2: Convert to fraction form
    63,348/136,740 = 136,740/x
  3. Step 3: Cross multiply
    63,348x = 136,740 × 136,740
  4. Step 4: Simplify right side
    63,348x = 18,697,827,600
  5. Step 5: Solve for x
    x = 18,697,827,600/63,348
  6. Step 6: Final answer
    x = 295,160.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.