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Finding the Third Proportional to 42,144 and 97,566

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Solution

The third proportional to 42,144 and 97,566 is: 225,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,144 : 97,566 = 97,566 : x
  2. Step 2: Convert to fraction form
    42,144/97,566 = 97,566/x
  3. Step 3: Cross multiply
    42,144x = 97,566 × 97,566
  4. Step 4: Simplify right side
    42,144x = 9,519,124,356
  5. Step 5: Solve for x
    x = 9,519,124,356/42,144
  6. Step 6: Final answer
    x = 225,871.40

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.