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Finding the Third Proportional to 102,357.84 and 163,503.56

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Solution

The third proportional to 102,357.84 and 163,503.56 is: 261,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,357.84 : 163,503.56 = 163,503.56 : x
  2. Step 2: Convert to fraction form
    102,357.84/163,503.56 = 163,503.56/x
  3. Step 3: Cross multiply
    102,357.84x = 163,503.56 × 163,503.56
  4. Step 4: Simplify right side
    102,357.84x = 26,733,414,950.19
  5. Step 5: Solve for x
    x = 26,733,414,950.19/102,357.84
  6. Step 6: Final answer
    x = 261,176.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.