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Finding the Third Proportional to 106,344 and 157,464

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Solution

The third proportional to 106,344 and 157,464 is: 233,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,344 : 157,464 = 157,464 : x
  2. Step 2: Convert to fraction form
    106,344/157,464 = 157,464/x
  3. Step 3: Cross multiply
    106,344x = 157,464 × 157,464
  4. Step 4: Simplify right side
    106,344x = 24,794,911,296
  5. Step 5: Solve for x
    x = 24,794,911,296/106,344
  6. Step 6: Final answer
    x = 233,157.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.