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Finding the Third Proportional to 90,018 and 145,002.38

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Solution

The third proportional to 90,018 and 145,002.38 is: 233,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,018 : 145,002.38 = 145,002.38 : x
  2. Step 2: Convert to fraction form
    90,018/145,002.38 = 145,002.38/x
  3. Step 3: Cross multiply
    90,018x = 145,002.38 × 145,002.38
  4. Step 4: Simplify right side
    90,018x = 21,025,688,755.64
  5. Step 5: Solve for x
    x = 21,025,688,755.64/90,018
  6. Step 6: Final answer
    x = 233,572.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.