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Finding the Third Proportional to 58,330 and 90,073

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Solution

The third proportional to 58,330 and 90,073 is: 139,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,330 : 90,073 = 90,073 : x
  2. Step 2: Convert to fraction form
    58,330/90,073 = 90,073/x
  3. Step 3: Cross multiply
    58,330x = 90,073 × 90,073
  4. Step 4: Simplify right side
    58,330x = 8,113,145,329
  5. Step 5: Solve for x
    x = 8,113,145,329/58,330
  6. Step 6: Final answer
    x = 139,090.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.