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Finding the Third Proportional to 72,496 and 147,031

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Solution

The third proportional to 72,496 and 147,031 is: 298,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,496 : 147,031 = 147,031 : x
  2. Step 2: Convert to fraction form
    72,496/147,031 = 147,031/x
  3. Step 3: Cross multiply
    72,496x = 147,031 × 147,031
  4. Step 4: Simplify right side
    72,496x = 21,618,114,961
  5. Step 5: Solve for x
    x = 21,618,114,961/72,496
  6. Step 6: Final answer
    x = 298,197.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.