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Finding the Third Proportional to 63,143 and 105,224

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Solution

The third proportional to 63,143 and 105,224 is: 175,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,143 : 105,224 = 105,224 : x
  2. Step 2: Convert to fraction form
    63,143/105,224 = 105,224/x
  3. Step 3: Cross multiply
    63,143x = 105,224 × 105,224
  4. Step 4: Simplify right side
    63,143x = 11,072,090,176
  5. Step 5: Solve for x
    x = 11,072,090,176/63,143
  6. Step 6: Final answer
    x = 175,349.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.