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Finding the Third Proportional to 97,308 and 146,658

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Solution

The third proportional to 97,308 and 146,658 is: 221,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,308 : 146,658 = 146,658 : x
  2. Step 2: Convert to fraction form
    97,308/146,658 = 146,658/x
  3. Step 3: Cross multiply
    97,308x = 146,658 × 146,658
  4. Step 4: Simplify right side
    97,308x = 21,508,568,964
  5. Step 5: Solve for x
    x = 21,508,568,964/97,308
  6. Step 6: Final answer
    x = 221,035.98

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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.