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Finding the Third Proportional to 107,148 and 158,532

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Solution

The third proportional to 107,148 and 158,532 is: 234,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,148 : 158,532 = 158,532 : x
  2. Step 2: Convert to fraction form
    107,148/158,532 = 158,532/x
  3. Step 3: Cross multiply
    107,148x = 158,532 × 158,532
  4. Step 4: Simplify right side
    107,148x = 25,132,395,024
  5. Step 5: Solve for x
    x = 25,132,395,024/107,148
  6. Step 6: Final answer
    x = 234,557.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.