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Finding the Third Proportional to 103,416 and 155,986

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Solution

The third proportional to 103,416 and 155,986 is: 235,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,416 : 155,986 = 155,986 : x
  2. Step 2: Convert to fraction form
    103,416/155,986 = 155,986/x
  3. Step 3: Cross multiply
    103,416x = 155,986 × 155,986
  4. Step 4: Simplify right side
    103,416x = 24,331,632,196
  5. Step 5: Solve for x
    x = 24,331,632,196/103,416
  6. Step 6: Final answer
    x = 235,279.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.