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Finding the Third Proportional to 107,677.69 and 160,466.06

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Solution

The third proportional to 107,677.69 and 160,466.06 is: 239,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,677.69 : 160,466.06 = 160,466.06 : x
  2. Step 2: Convert to fraction form
    107,677.69/160,466.06 = 160,466.06/x
  3. Step 3: Cross multiply
    107,677.69x = 160,466.06 × 160,466.06
  4. Step 4: Simplify right side
    107,677.69x = 25,749,357,214.25
  5. Step 5: Solve for x
    x = 25,749,357,214.25/107,677.69
  6. Step 6: Final answer
    x = 239,133.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.