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Finding the Third Proportional to 42,030 and 63,201

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Solution

The third proportional to 42,030 and 63,201 is: 95,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,030 : 63,201 = 63,201 : x
  2. Step 2: Convert to fraction form
    42,030/63,201 = 63,201/x
  3. Step 3: Cross multiply
    42,030x = 63,201 × 63,201
  4. Step 4: Simplify right side
    42,030x = 3,994,366,401
  5. Step 5: Solve for x
    x = 3,994,366,401/42,030
  6. Step 6: Final answer
    x = 95,036.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.