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Finding the Third Proportional to 107,444 and 151,038

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Solution

The third proportional to 107,444 and 151,038 is: 212,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,444 : 151,038 = 151,038 : x
  2. Step 2: Convert to fraction form
    107,444/151,038 = 151,038/x
  3. Step 3: Cross multiply
    107,444x = 151,038 × 151,038
  4. Step 4: Simplify right side
    107,444x = 22,812,477,444
  5. Step 5: Solve for x
    x = 22,812,477,444/107,444
  6. Step 6: Final answer
    x = 212,319.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.