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Finding the Third Proportional to 45,144 and 97,432

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Solution

The third proportional to 45,144 and 97,432 is: 210,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,144 : 97,432 = 97,432 : x
  2. Step 2: Convert to fraction form
    45,144/97,432 = 97,432/x
  3. Step 3: Cross multiply
    45,144x = 97,432 × 97,432
  4. Step 4: Simplify right side
    45,144x = 9,492,994,624
  5. Step 5: Solve for x
    x = 9,492,994,624/45,144
  6. Step 6: Final answer
    x = 210,282.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.