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Finding the Third Proportional to 42,312 and 92,148

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Solution

The third proportional to 42,312 and 92,148 is: 200,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,312 : 92,148 = 92,148 : x
  2. Step 2: Convert to fraction form
    42,312/92,148 = 92,148/x
  3. Step 3: Cross multiply
    42,312x = 92,148 × 92,148
  4. Step 4: Simplify right side
    42,312x = 8,491,253,904
  5. Step 5: Solve for x
    x = 8,491,253,904/42,312
  6. Step 6: Final answer
    x = 200,681.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.