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Finding the Third Proportional to 42,130 and 92,178

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Solution

The third proportional to 42,130 and 92,178 is: 201,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,130 : 92,178 = 92,178 : x
  2. Step 2: Convert to fraction form
    42,130/92,178 = 92,178/x
  3. Step 3: Cross multiply
    42,130x = 92,178 × 92,178
  4. Step 4: Simplify right side
    42,130x = 8,496,783,684
  5. Step 5: Solve for x
    x = 8,496,783,684/42,130
  6. Step 6: Final answer
    x = 201,680.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.