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Finding the Third Proportional to 46,133 and 70,526

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Solution

The third proportional to 46,133 and 70,526 is: 107,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,133 : 70,526 = 70,526 : x
  2. Step 2: Convert to fraction form
    46,133/70,526 = 70,526/x
  3. Step 3: Cross multiply
    46,133x = 70,526 × 70,526
  4. Step 4: Simplify right side
    46,133x = 4,973,916,676
  5. Step 5: Solve for x
    x = 4,973,916,676/46,133
  6. Step 6: Final answer
    x = 107,816.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.