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Finding the Third Proportional to 102,632.75 and 163,435.13

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Solution

The third proportional to 102,632.75 and 163,435.13 is: 260,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,632.75 : 163,435.13 = 163,435.13 : x
  2. Step 2: Convert to fraction form
    102,632.75/163,435.13 = 163,435.13/x
  3. Step 3: Cross multiply
    102,632.75x = 163,435.13 × 163,435.13
  4. Step 4: Simplify right side
    102,632.75x = 26,711,040,083.77
  5. Step 5: Solve for x
    x = 26,711,040,083.77/102,632.75
  6. Step 6: Final answer
    x = 260,258.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.