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Finding the Third Proportional to 63,196 and 136,526

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Solution

The third proportional to 63,196 and 136,526 is: 294,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,196 : 136,526 = 136,526 : x
  2. Step 2: Convert to fraction form
    63,196/136,526 = 136,526/x
  3. Step 3: Cross multiply
    63,196x = 136,526 × 136,526
  4. Step 4: Simplify right side
    63,196x = 18,639,348,676
  5. Step 5: Solve for x
    x = 18,639,348,676/63,196
  6. Step 6: Final answer
    x = 294,945.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.