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Finding the Third Proportional to 97,576 and 142,657

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Solution

The third proportional to 97,576 and 142,657 is: 208,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,576 : 142,657 = 142,657 : x
  2. Step 2: Convert to fraction form
    97,576/142,657 = 142,657/x
  3. Step 3: Cross multiply
    97,576x = 142,657 × 142,657
  4. Step 4: Simplify right side
    97,576x = 20,351,019,649
  5. Step 5: Solve for x
    x = 20,351,019,649/97,576
  6. Step 6: Final answer
    x = 208,565.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.