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Finding the Third Proportional to 97,472 and 212,560

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Solution

The third proportional to 97,472 and 212,560 is: 463,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,472 : 212,560 = 212,560 : x
  2. Step 2: Convert to fraction form
    97,472/212,560 = 212,560/x
  3. Step 3: Cross multiply
    97,472x = 212,560 × 212,560
  4. Step 4: Simplify right side
    97,472x = 45,181,753,600
  5. Step 5: Solve for x
    x = 45,181,753,600/97,472
  6. Step 6: Final answer
    x = 463,535.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.