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Finding the Third Proportional to 63,144 and 147,537

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Solution

The third proportional to 63,144 and 147,537 is: 344,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,144 : 147,537 = 147,537 : x
  2. Step 2: Convert to fraction form
    63,144/147,537 = 147,537/x
  3. Step 3: Cross multiply
    63,144x = 147,537 × 147,537
  4. Step 4: Simplify right side
    63,144x = 21,767,166,369
  5. Step 5: Solve for x
    x = 21,767,166,369/63,144
  6. Step 6: Final answer
    x = 344,722.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.