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Finding the Third Proportional to 90,537 and 133,029

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Solution

The third proportional to 90,537 and 133,029 is: 195,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,537 : 133,029 = 133,029 : x
  2. Step 2: Convert to fraction form
    90,537/133,029 = 133,029/x
  3. Step 3: Cross multiply
    90,537x = 133,029 × 133,029
  4. Step 4: Simplify right side
    90,537x = 17,696,714,841
  5. Step 5: Solve for x
    x = 17,696,714,841/90,537
  6. Step 6: Final answer
    x = 195,463.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.