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Finding the Third Proportional to 107,048 and 163,436

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Solution

The third proportional to 107,048 and 163,436 is: 249,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,048 : 163,436 = 163,436 : x
  2. Step 2: Convert to fraction form
    107,048/163,436 = 163,436/x
  3. Step 3: Cross multiply
    107,048x = 163,436 × 163,436
  4. Step 4: Simplify right side
    107,048x = 26,711,326,096
  5. Step 5: Solve for x
    x = 26,711,326,096/107,048
  6. Step 6: Final answer
    x = 249,526.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.