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Finding the Third Proportional to 42,507 and 92,376

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Solution

The third proportional to 42,507 and 92,376 is: 200,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,507 : 92,376 = 92,376 : x
  2. Step 2: Convert to fraction form
    42,507/92,376 = 92,376/x
  3. Step 3: Cross multiply
    42,507x = 92,376 × 92,376
  4. Step 4: Simplify right side
    42,507x = 8,533,325,376
  5. Step 5: Solve for x
    x = 8,533,325,376/42,507
  6. Step 6: Final answer
    x = 200,751.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.