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Finding the Third Proportional to 97,100 and 146,540

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Solution

The third proportional to 97,100 and 146,540 is: 221,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,100 : 146,540 = 146,540 : x
  2. Step 2: Convert to fraction form
    97,100/146,540 = 146,540/x
  3. Step 3: Cross multiply
    97,100x = 146,540 × 146,540
  4. Step 4: Simplify right side
    97,100x = 21,473,971,600
  5. Step 5: Solve for x
    x = 21,473,971,600/97,100
  6. Step 6: Final answer
    x = 221,153.16

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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.