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Finding the Third Proportional to 42,176 and 63,237

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Solution

The third proportional to 42,176 and 63,237 is: 94,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,176 : 63,237 = 63,237 : x
  2. Step 2: Convert to fraction form
    42,176/63,237 = 63,237/x
  3. Step 3: Cross multiply
    42,176x = 63,237 × 63,237
  4. Step 4: Simplify right side
    42,176x = 3,998,918,169
  5. Step 5: Solve for x
    x = 3,998,918,169/42,176
  6. Step 6: Final answer
    x = 94,815.02

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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.