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Finding the Third Proportional to 63,507 and 142,050

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Solution

The third proportional to 63,507 and 142,050 is: 317,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,507 : 142,050 = 142,050 : x
  2. Step 2: Convert to fraction form
    63,507/142,050 = 142,050/x
  3. Step 3: Cross multiply
    63,507x = 142,050 × 142,050
  4. Step 4: Simplify right side
    63,507x = 20,178,202,500
  5. Step 5: Solve for x
    x = 20,178,202,500/63,507
  6. Step 6: Final answer
    x = 317,731.94

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.