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Finding the Third Proportional to 106,396 and 157,540

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Solution

The third proportional to 106,396 and 157,540 is: 233,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,396 : 157,540 = 157,540 : x
  2. Step 2: Convert to fraction form
    106,396/157,540 = 157,540/x
  3. Step 3: Cross multiply
    106,396x = 157,540 × 157,540
  4. Step 4: Simplify right side
    106,396x = 24,818,851,600
  5. Step 5: Solve for x
    x = 24,818,851,600/106,396
  6. Step 6: Final answer
    x = 233,268.65

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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.