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Finding the Third Proportional to 110,506 and 169,957

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Solution

The third proportional to 110,506 and 169,957 is: 261,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,506 : 169,957 = 169,957 : x
  2. Step 2: Convert to fraction form
    110,506/169,957 = 169,957/x
  3. Step 3: Cross multiply
    110,506x = 169,957 × 169,957
  4. Step 4: Simplify right side
    110,506x = 28,885,381,849
  5. Step 5: Solve for x
    x = 28,885,381,849/110,506
  6. Step 6: Final answer
    x = 261,391.98

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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.