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Finding the Third Proportional to 45,322 and 97,387

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Solution

The third proportional to 45,322 and 97,387 is: 209,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,322 : 97,387 = 97,387 : x
  2. Step 2: Convert to fraction form
    45,322/97,387 = 97,387/x
  3. Step 3: Cross multiply
    45,322x = 97,387 × 97,387
  4. Step 4: Simplify right side
    45,322x = 9,484,227,769
  5. Step 5: Solve for x
    x = 9,484,227,769/45,322
  6. Step 6: Final answer
    x = 209,263.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.