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Finding the Third Proportional to 45,526 and 93,306

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Solution

The third proportional to 45,526 and 93,306 is: 191,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,526 : 93,306 = 93,306 : x
  2. Step 2: Convert to fraction form
    45,526/93,306 = 93,306/x
  3. Step 3: Cross multiply
    45,526x = 93,306 × 93,306
  4. Step 4: Simplify right side
    45,526x = 8,706,009,636
  5. Step 5: Solve for x
    x = 8,706,009,636/45,526
  6. Step 6: Final answer
    x = 191,231.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.