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Finding the Third Proportional to 97,769 and 147,747

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Solution

The third proportional to 97,769 and 147,747 is: 223,272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,769 : 147,747 = 147,747 : x
  2. Step 2: Convert to fraction form
    97,769/147,747 = 147,747/x
  3. Step 3: Cross multiply
    97,769x = 147,747 × 147,747
  4. Step 4: Simplify right side
    97,769x = 21,829,176,009
  5. Step 5: Solve for x
    x = 21,829,176,009/97,769
  6. Step 6: Final answer
    x = 223,272.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.