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Finding the Third Proportional to 42,088 and 91,264

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Solution

The third proportional to 42,088 and 91,264 is: 197,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,088 : 91,264 = 91,264 : x
  2. Step 2: Convert to fraction form
    42,088/91,264 = 91,264/x
  3. Step 3: Cross multiply
    42,088x = 91,264 × 91,264
  4. Step 4: Simplify right side
    42,088x = 8,329,117,696
  5. Step 5: Solve for x
    x = 8,329,117,696/42,088
  6. Step 6: Final answer
    x = 197,897.68

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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.