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Finding the Third Proportional to 113,788.69 and 163,909.13

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Solution

The third proportional to 113,788.69 and 163,909.13 is: 236,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,788.69 : 163,909.13 = 163,909.13 : x
  2. Step 2: Convert to fraction form
    113,788.69/163,909.13 = 163,909.13/x
  3. Step 3: Cross multiply
    113,788.69x = 163,909.13 × 163,909.13
  4. Step 4: Simplify right side
    113,788.69x = 26,866,201,258.27
  5. Step 5: Solve for x
    x = 26,866,201,258.27/113,788.69
  6. Step 6: Final answer
    x = 236,106.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.