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Finding the Third Proportional to 42,308 and 65,337

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Solution

The third proportional to 42,308 and 65,337 is: 100,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,308 : 65,337 = 65,337 : x
  2. Step 2: Convert to fraction form
    42,308/65,337 = 65,337/x
  3. Step 3: Cross multiply
    42,308x = 65,337 × 65,337
  4. Step 4: Simplify right side
    42,308x = 4,268,923,569
  5. Step 5: Solve for x
    x = 4,268,923,569/42,308
  6. Step 6: Final answer
    x = 100,901.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.