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Finding the Third Proportional to 97,072 and 146,292

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Solution

The third proportional to 97,072 and 146,292 is: 220,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,072 : 146,292 = 146,292 : x
  2. Step 2: Convert to fraction form
    97,072/146,292 = 146,292/x
  3. Step 3: Cross multiply
    97,072x = 146,292 × 146,292
  4. Step 4: Simplify right side
    97,072x = 21,401,349,264
  5. Step 5: Solve for x
    x = 21,401,349,264/97,072
  6. Step 6: Final answer
    x = 220,468.82

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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.