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Finding the Third Proportional to 109,594.13 and 169,008.19

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Solution

The third proportional to 109,594.13 and 169,008.19 is: 260,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,594.13 : 169,008.19 = 169,008.19 : x
  2. Step 2: Convert to fraction form
    109,594.13/169,008.19 = 169,008.19/x
  3. Step 3: Cross multiply
    109,594.13x = 169,008.19 × 169,008.19
  4. Step 4: Simplify right side
    109,594.13x = 28,563,767,442.04
  5. Step 5: Solve for x
    x = 28,563,767,442.04/109,594.13
  6. Step 6: Final answer
    x = 260,632.29

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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.