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Finding the Third Proportional to 97,785 and 147,771

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Solution

The third proportional to 97,785 and 147,771 is: 223,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785 : 147,771 = 147,771 : x
  2. Step 2: Convert to fraction form
    97,785/147,771 = 147,771/x
  3. Step 3: Cross multiply
    97,785x = 147,771 × 147,771
  4. Step 4: Simplify right side
    97,785x = 21,836,268,441
  5. Step 5: Solve for x
    x = 21,836,268,441/97,785
  6. Step 6: Final answer
    x = 223,308.98

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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.