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Finding the Third Proportional to 106,565.63 and 153,955.69

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Solution

The third proportional to 106,565.63 and 153,955.69 is: 222,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,565.63 : 153,955.69 = 153,955.69 : x
  2. Step 2: Convert to fraction form
    106,565.63/153,955.69 = 153,955.69/x
  3. Step 3: Cross multiply
    106,565.63x = 153,955.69 × 153,955.69
  4. Step 4: Simplify right side
    106,565.63x = 23,702,353,713.60
  5. Step 5: Solve for x
    x = 23,702,353,713.60/106,565.63
  6. Step 6: Final answer
    x = 222,420.26

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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.