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Finding the Third Proportional to 53,106 and 112,364

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Solution

The third proportional to 53,106 and 112,364 is: 237,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,106 : 112,364 = 112,364 : x
  2. Step 2: Convert to fraction form
    53,106/112,364 = 112,364/x
  3. Step 3: Cross multiply
    53,106x = 112,364 × 112,364
  4. Step 4: Simplify right side
    53,106x = 12,625,668,496
  5. Step 5: Solve for x
    x = 12,625,668,496/53,106
  6. Step 6: Final answer
    x = 237,744.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.