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Finding the Third Proportional to 97,312 and 140,624

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Solution

The third proportional to 97,312 and 140,624 is: 203,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,312 : 140,624 = 140,624 : x
  2. Step 2: Convert to fraction form
    97,312/140,624 = 140,624/x
  3. Step 3: Cross multiply
    97,312x = 140,624 × 140,624
  4. Step 4: Simplify right side
    97,312x = 19,775,109,376
  5. Step 5: Solve for x
    x = 19,775,109,376/97,312
  6. Step 6: Final answer
    x = 203,213.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.