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Finding the Third Proportional to 42,130 and 63,462

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Solution

The third proportional to 42,130 and 63,462 is: 95,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,130 : 63,462 = 63,462 : x
  2. Step 2: Convert to fraction form
    42,130/63,462 = 63,462/x
  3. Step 3: Cross multiply
    42,130x = 63,462 × 63,462
  4. Step 4: Simplify right side
    42,130x = 4,027,425,444
  5. Step 5: Solve for x
    x = 4,027,425,444/42,130
  6. Step 6: Final answer
    x = 95,595.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.