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Finding the Third Proportional to 122,565 and 168,780

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Solution

The third proportional to 122,565 and 168,780 is: 232,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,565 : 168,780 = 168,780 : x
  2. Step 2: Convert to fraction form
    122,565/168,780 = 168,780/x
  3. Step 3: Cross multiply
    122,565x = 168,780 × 168,780
  4. Step 4: Simplify right side
    122,565x = 28,486,688,400
  5. Step 5: Solve for x
    x = 28,486,688,400/122,565
  6. Step 6: Final answer
    x = 232,421.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.