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Finding the Third Proportional to 70,104 and 108,854

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Solution

The third proportional to 70,104 and 108,854 is: 169,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,104 : 108,854 = 108,854 : x
  2. Step 2: Convert to fraction form
    70,104/108,854 = 108,854/x
  3. Step 3: Cross multiply
    70,104x = 108,854 × 108,854
  4. Step 4: Simplify right side
    70,104x = 11,849,193,316
  5. Step 5: Solve for x
    x = 11,849,193,316/70,104
  6. Step 6: Final answer
    x = 169,023.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.