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Finding the Third Proportional to 95,747 and 151,541

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Solution

The third proportional to 95,747 and 151,541 is: 239,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,747 : 151,541 = 151,541 : x
  2. Step 2: Convert to fraction form
    95,747/151,541 = 151,541/x
  3. Step 3: Cross multiply
    95,747x = 151,541 × 151,541
  4. Step 4: Simplify right side
    95,747x = 22,964,674,681
  5. Step 5: Solve for x
    x = 22,964,674,681/95,747
  6. Step 6: Final answer
    x = 239,847.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.