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Finding the Third Proportional to 113,364 and 166,572

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Solution

The third proportional to 113,364 and 166,572 is: 244,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,364 : 166,572 = 166,572 : x
  2. Step 2: Convert to fraction form
    113,364/166,572 = 166,572/x
  3. Step 3: Cross multiply
    113,364x = 166,572 × 166,572
  4. Step 4: Simplify right side
    113,364x = 27,746,231,184
  5. Step 5: Solve for x
    x = 27,746,231,184/113,364
  6. Step 6: Final answer
    x = 244,753.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.